Measuring tape. The most common constituent of sand in inland continental settings and non-tropical coastal settings is silica quartz (silicon dioxide - SiO2). Pool filters typically have very specific sand gradation requirements and often require a very tight gradation. Also known as Grit Sand. I want equal coverage to a thickness of 2 inches. Sand calculator formula When you enter your measurements into the calculator, it works out the area and volume of the sand required using the below formulas: $$Area = Length \times Width$$ $$Volume = Area \times Depth$$ ). Sand is a major component of concrete and due to the high demand for concrete for construction, suitable for concrete sand is also in high demand. Aggregates. All of these items should be available at your local builders merchant, so you can purchase them when you pick up your artificial grass order. Multiply the length times the width times the depth to determine the total cubic square metres for your project. Our online tools will provide quick answers to your calculation and conversion needs. Our Aggregates Calculator will help you determine the quantity of aggregates you need for your project. Take this figure with you when shopping for sharp sand material. Cookies Policy . Add to Cart. Information Centre. You can use our calculator to see how much you need for your project. This calculator will give you the volume of sand & hardcore required for you patio project. The major materials needed in the preparation of concrete blocks are portland cement, sand, aggregate (stone), and water. How much is a yard of gravel? Type 1. Use the calculator on the right hand size by entering your required dimensions and clicking calculate. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Sand Calculator", [online] Available at: https://www.gigacalculator.com/calculators/sand-calculator.php URL [Accessed Date: 19 Dec, 2020]. Our sand calculator is of great utility in such cases, but you should keep in mind that the results will only be as good as the measurements entered. Calculate. You may consider QUIKRETE® Pool Filter Sand (No. Information Centre. In some cases, "sand" refers to a textural class of soil, that is - a soil which has more than 85% of its mass comprised of sand-sized particles. Pick Up / Shop in store only. Volume Calculator. Standard sand, in addition, shall be light grey or whitish color, should be free from silt and the grains should be angular, but a small percentage of flaky or rounded particles are permissible. We Reveal the Truth. Sand calculator online - estimate the sand required for your construction or landscaping project in weight (pounds, kilograms, tons, tonnes) and volume (cubic ft, cubic yards, cubic meters). Sand can be thought of as finer gravel, or coarser silt. Sharp sand, also known as concreting, coarse or grit sand contains a greater proportion of larger particles than building sand.As a result, it is best used as part of the base underneath driveways, patios, artificial grass or block paving, where a layer of hardcore or MOT is used, then topped with a layer of sand and compacted for a smooth and level surface. From Only. Enter the height and width dimensions in to our easy calculator. Concreting Sand How much do I need? How to Calculate Bags of Sand for a Patio Base By Matthew D'Antuono Hunker may earn compensation through affiliate links in this story. Calculator / Sand & Gravel; Sand & Gravel. Calculator. CALCULATION FOR AGGREGATE QUANTITY; Consider volume of concrete = 1m 3 . Tip. To store a program, press MODE 1 to enter the AER mode and then press 2ndF _ or 2ndF ` to specify where to store the program. The sand density varies upon several factors and its conditions. Many builders and gardeners are faced with calculating or estimating the amount of sand they need to fill a given space with sand. If you are going to use sand instead of gravel, try our sand calculator or the paver sand calculator. I got a free standing punching bag and needed sand for ballast. Also known as Grit Sand. This corresponds to moderately damp sand and is the number used in the calculator. Sharp sand has a gritty texture. £35.00. Came across this on Wickes website. With the help of our calculators you can do that quickly and easily. COVID-19: Timberlink update - Click here. Stronger and harder wearing, this general purpose concrete is manufactured from cement and specially selected and graded sand. Picking this up makes it a great price for what I need, 2 bags with any left over for the garden lawn this Spring. Floor Screeding, quantities & volumes calculator. What if I’m using a different material? J This calculator will give you the volume of sand & hardcore required for you patio project. These Concrete Calculators provide the required quantities of cement and all-in ballast or cement, sharp sand and gravel required to give a defined volume of finished concrete. "river sand" (a.k.a. Aggregates & Decorative Stone; Paving; Fencing; Gravel; Sand; Cement & Post Mix; Chippings; Road Planings; Rockery; View More . Sharp sand can also be added to soil in order to create potting soil or to loosen clay soil. Click below to calculate weights and volumes. What if my measurements aren’t in feet and pounds. cost per pound) or cost per unit volume (e.g. This will give you an estimated weight required and will show you how this can be supplied in three different ways. Selecting the right type and size is crucial, as some sands have a different application than others. Things You'll Need. Home Login ... Screed prices for this calculator are averaged out between 25mm and 75mm thicknesses, which will give a slight bias either side of the mean price. view list. view list. The second most common type of sand, mostly encountered in islands and near the sea, is calcium carbonate which is created by various life-forms, like coral and shellfish. "sharp sand", "builder's sand", "grit sand", "concrete sand"), "masonry sand", "M-10 sand" (granite sand), "play sand", each being finer and more expensive than the previous one. A square yard of a sandbox with a depth of 1 foot (30.48 cm) weighs about 900 pounds (410 kg) or slightly less than half a ton. Real-time graphics. Calculator. Our Sharp Sand is ideal for laying block paving, bedding flags, screeding or concrete mixing. These Concrete Calculators work out the required cement and all-in ballast or cement, sharp sand and gravel required to complete a user defined volume of finished concrete. Sharp/Grit Sand. Bag sizes and coverage Our Sand calculator will help you estimate how many Cubic Yards of Sand you need for your desired coverage area. (1972) "Sand", American Scientist 60:286-291, [2] ASTM C-778 - 17 "Standard Specification for Standard Sand". OR. 57 Bulk Bags of Sand Required . Two Concrete Calculator are provided for different concrete mixes: General mix - 1:5 cement:all-in ballast or 1:2½:3½ cement:sharp sand:gravel. Available to buy in jumbo bulk bags, half jumbo bulk bags or 23kg small bags - see our bag size guide below. 162 Tonnes of 40mm Gravel, Pebbles or Cobbles. Read more. Some of the calculators on the web are comming back with 1900 Kilos of material, does that sound right? … A cubic meter of typical sand weighs 1,600 kilograms 1.6 tonnes. This will give you an estimated weight required and will show you how this can be supplied in three different ways. For construction work, concrete mixing, etc. To calculate the weight of the material, you simply have to multiply the volume by the density. It has a gritty texture, making it ideal for mixing with concrete for construction. A tonne of moderately damp sand typically fills about 0.625 m3 (cubic meters). Before you determine how much paver sand do I need, you must first measure the surface you plan to work on. Please note that the calculator is a guide only. Please Register for our enhanced calculators, 7 day free trial, no obligation to subscribe. You may even want to buy the sand in bulk from a landscape supply center. Contrary to what you may think, there is more than one type of sand, by the size of its pebbles and it's intended use [2]. calculator. This form will calculate the approximate metric tonnes of sand and/or sand & bags of OPC required for the entered area. 0/4mm Pentney Sharp Sand : A sharp sand ideal for use in plastering, rendering and for laying paving slabs. Use our handy quantity calculator to estimate how much of our bulk aggregates you need. cost per cubic feet), then the calculator can work out the total cost of the required sand: $$Cost = Price\,per\,unit\,mass \times Weight$$, $$Cost = Price\,per\,unit\,volume \times Volume$$. Generally, when the stone ratio is more than the sand, this concrete cures a little stronger than a 1:3:3 ratio. 170 Bulk Bags of Sand/ Gravel Required. There are dozens of handy little calculators dotted throughout the site, from working out how much sand and cement is required to how many flags are needed to cover a … Standard delivery - from FREE Click & Collect from store within 1 hour - FREE. Estimating the required amount of any building material is a difficult task, and errors may result in either the material running out when the project is in full swing, or in heaps of sand lying around after the earthwork is completed. Both concrete calculators make an allowance for the fact that ballast etc losses volume when mixed to make concrete. When used correctly it will typically achieve a 28-day compressive strength of 40N per square millimetre. 0/4mm Bilney Sharp Sand : A coarse concreting sand commonly used for block paving and floor screeds. The sand tends to make the concrete a little more easier to work with. This will give you an estimated weight required and will show you how this can be supplied in three different ways. Sharp Sand is also sometimes referred to as builders’ sand. Patio Calculation. The approximate density of sand is 1600 kg/m, Multiply the volume by the density (in the same units) to get the weight. Simply measure the area needed to cover and we will calculate roughly how … Some of the calculators on the web are comming back with 1900 Kilos of material, does that sound right? Please use this calculator to work out the required volume for your loose or bagged aggregates required. When calculating the sand's weight, make sure you do not confuse the tonne (metric ton) with the ton (short ton). For Calculation in Cubic Feet = 0.42 x 35.31 = 14.83 Cubic Feet . The calculator assumes the area that you are going use is rectangular. It can be difficult to look at a space and estimate how much is required, and this can result in wasted money and time. 380 cement : 1520 sharp sand Cheers all for the help and sorry for the painfull question. The water content of the sand is assumed to be moderate. 01630 638 111 . This makes it perfect for use in strong mortar and concrete mixes, however can cause mortar to become tough to work. The sand’s density is 100 lb/ft³ and costs $10 per ton. The calculations will be completed when you leave the last input field. Density of … Tel: 01205 317412; Email Us; Get a Quote; Hit enter to search or ESC to close. Fortunately you don't have to remember the density of gravel - our calculator sets this value for you by default. [1] Krinsley D.H., Smalley I.J. Then use the paver sand calculator to find out exactly how much sand you need for your project. Use the calculator on the right hand size by entering your required dimensions and clicking calculate. All of these items should be available at your local builders merchant, so you can purchase … Please enter the Width, Length and Depth of the area, then click on the Calculate button. Our calculator does the conversions for you using the pre-programmed conversions: $$1\,foot = 12\,inches = 0.33\,yards = 30.48\,centimeters = 0.3048\,meters$$, $$1\,US\,short\,ton = 2000\,pounds = 0.893\,imperial\,long\,ton = 907\,kg$$. . Sharp/Grit Sand. From Only. For major projects, you will probably contract a supply company … Sand & Gravel. Sharp sand is ideal for general purpose building use and can be mixed with other products like floor levelling compounds. View details. Our standard Maxi bags of sand are a minimum of 850 kgs. Share product. You may be surprised as the results are often more than you think. In case the area you are calculating has an irregular shape what you want to do is divide it in several regularly-shaped sections, calculate their volume and sand requirements and then sum them up together. Ballast (0/20mm all in ballast). Sand & Gravel. Calculate the depth of needed sharp sand for your project. As this is purely an estimate for perfectly level ground, we highly recommend seeking advice from a professional landscaper before buying any concrete sand … Some manufacturers express the grade and type of the sand in other ways, e.g. Sharp sand, also known as grit sand, consists of larger, coarser particles than standard building sand. Online Calculator. Mon - Fri: 7:30 - 4 • Sat: 8 - 12. Excludes 20% V.A.T. Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. A cubic yard of typical sand weighs about 2700 pounds or 1.35 tons. Free calculators and unit converters for general and everyday use. It uses conventional sand density. Our quantity calculator will help you calculate the amount of tonnes you require for your project. 380 cement : 1520 sharp sand Cheers all … View product details. You can calculate the concrete mix ratio by entering the width, height and depth of the ratio in this concrete mix ratio calculator to know the total volume, sharp sand, gravel and water. if it was raining or if you dig up and leave sand under the sun so water evaporates). £37.00. OR. A large selection of free online construction calculators at GIGAcalculator.com. When you purchase sharp sand, it will most likely come in bags listed at a specific square metres of coverage. The numbers are obtained using this sand calculator. Sharp EL-5020 Introduction This model of calculator can store up to two calculation programs under 1: and 2:. The ton is currently only used in the United States and is equal to 2000 pounds (2000 lbs). As this is purely an estimate for perfectly level ground, we highly recommend seeking advice from a professional landscaper before buying any concrete sand … A ton of sand is typically about 0.750 cubic yards (3/4 cu yd), or 20 cubic feet. Sand Infill Calculator. £35.00. Our Sand calculator will help you estimate how many Cubic Yards of Sand you need for your desired coverage area. This will calculate/estimate the quantities of sand and cement required for an area of floor screeding. Patio Calculator; Patio Calculator. Our sand calculator is a tool designed specifically to help you with calculations you may do on the building site, or when you are doing a bit of home improvement. Concrete Calculator . The calculation process is as follows: There is finer and more coarse sand, so the density, measured for dry sand in kg per cubic meter or pounds per cubic feet, of your particular shipment may vary. See our full terms of service. Pack Quantity: 1; … View details. Download information sheets for this product. Product details. If you need to work out an area of a different shape, try breaking the area down into several rectangles, ... A sharp sand ideal for use in plastering, rendering and for laying paving slabs. The calculator would perform the following calculations: $$Area = Length \times Width = 5 ft \times 3 ft = 15 ft^2$$, $$Volume = Area \times Depth = 15 ft^2 \times 2\,in = 2.5 ft^3$$, $$Weight = Volume \times Density = 2.5ft^3 \times 100\,lb/ft^3 = 0.125\,t$$, $$Cost = Price\,per\,unit\,mass \times Weight = 10\,$/t \times 0.125\,t= $1.25$$. The difference is in the workability of the concrete. Estimate the volume of sand needed, using geometrical formulas and plans or measurements. This calculator will provide you with an estimate of how much concrete sand, weed membrane and sub-base you will need for your paving project. 57 Tonnes of Hardcore / Type 1 Required . When you enter your measurements into the calculator, it works out the area and volume of the sand required using the below formulas: If you know the density of the material you are using (NB: standard sand is 100 lb/ft³), the sand estimator can work out how many tons of sand you will require using the formula: If you have the price per unit mass (e.g. See below for info on the differing types of floor screeds. The sand’s density is 100 lb/ft³ and costs $15 per cubic yard. Our online calculators, converters, randomizers, and content are provided "as is", free of charge, and without any warranty or guarantee. This makes it perfect for use in strong mortar and concrete mixes, however can cause mortar to become tough to work. Our Aggregates Calculator will help you determine the quantity of aggregates you need for your project. $$Volume = Area \times Depth = 100 ft^2 \times 3\,in = 25\,ft^3$$, $$Weight = Volume \times Density = 25ft^3 \times 100\,lb/ft^3 = 2,500\,lb$$, $$Cost = Price\,per\,unit\,volume \times Volume = 15\,$/yd^3 \times 2,500\,lb = $13.89$$, What if I don’t know the density? Imagine I am going to fill an area measuring 5 feet by 3 feet using standard sand. Look around in a few different places for the best price on sand. It is also used as bedding and jointing for paving slabs and blocks. We deliver from Boston in Lincolnshire. Use this calculator to estimate how much sand in volume (cubic ft, cubic yards, or cubic meters) or weight (tons & pounds, tonnes and kilograms) you would need. Enter Your Requirements. Length Meters Width Meters Hardcore Depth Millimeters Min 100mm . Add to Cart. The density of typical sand is 100 lb/ft3 (1600 kg/m3). Sharp sand, also known as grit sand, consists of larger, coarser particles than standard building sand. Length (m) Width (m) Depth (m) calculate What you will need. Both of these concrete calculators make an allowance for the fact that material losses … Look around in a few different places for the best price on sand. Calculating the requirements of a given construction or landscaping project require a fair bit of mathematics and geometry. Read less. If you have clay soil, adding sharp sand (as well as coarser types of grit, too) will improve it. In case you end up needing to do this for a large number of sections, you might use our summation calculator. Generally you would lay a 10mm aggregate at 3-4cm (approx 1.5") deep, but on a drive you would go to 5cm (approx 2"). QUIKRETE® All Purpose Sand is a coarse, construction grade sand that likely has a wider gradation than required and is not prepared properly to protect the filter pump. Sands; … Read more. Excludes 20% V.A.T. Enter Your Requirements. Quantity Calculator fluidadmin 2020-02-25T10:51:04+00:00 If you are unsure how much aggregate you need, use our calculator below. Let’s say I have an area of 100 ft² that I want to cover with sand to a depth of 3 inches. Density of Sand: In general, Density can be defined as mass per unit volume/mean particles per unit volume. Delivery. Concreting sand / sharp sand available for delivery, loose or in bulk bags from Timberlink.co.uk. Enter your dimensions in the panel provided to calculate the estimated quantities required for your floor screed. (some assumptions have had to be made to keep this form simple). Calculating how much sand your landscaping project will need is not easy. Material. TJS supply buiders sand, kiln-dried sand, sharp sand, play sand and ballast for all your building needs. It comes in a convenient weatherproof and tear-resistant plastic bag. Advice & Inspiration Gardens Ideas & Advice. To calculate the foundation area we need its diameter, since the formula is π x r2, where r is the radius, or diameter/2. You may even want to buy the sand in bulk from a landscape supply center. The sand of choice for providing support underneath flag stones, concrete slabs and paving stones, our sharp sand is also commonly used to mix concrete and other cementitious renders. Beach sand (which is what builders use) should generallly be avoided for horticultural purposes. Click below to calculate weights and volumes. The volume formula for a rectangular (or square) box in cubic feet is height(ft) x width(ft) x length(ft), as seen in the figure below: For example, to fill a box with a width of 3ft and a length of 6ft, to a depth of 1ft, you need to multiply 1ft x 3ft x 6ft = 18ft3 (cubic feet) of sand. Enter Your Requirements. The first one is used by all countries in the world and is defined to be equal to 1000 kg by the international body of standardization. For example, when calculating the amount of sand and cost in the last example, price is given in dollars per ton and weight is given in pounds. Do not try delivery as they charge you £25. The difference between the two is not huge but can quickly add up to a significant number as the amount increases. Please enter the dimensions in the white fields below. Work out what you need for your artificial grass installation Enter your project details below and our handy supplies calculator will let you know how much material you’ll need. Premier Play Sand is a versatile, all-purpose sand that is ready to use; Fine granulated washed play sand; Ideal for children's sandboxes; Increases traction on driveways and walkways; Adds extra weight in trucks or vans; Soil additive for clay-rich soil; Size: 18 kg (39.6 lbs) Note: This product is not available in all stores; please check local regulations for usage ; $5.99. Sand & Gravel. Calculator / Sand & Gravel; Sand & Gravel. Sharp’s Calculators and Calculator's support. it is sold by the tonne and comes in trucks. I am unsure of its density, but when buying by bulk the sand weighs 240 pounds per 4 cubic feet. Building sand can be provided either loose and tipped, in bulk bags with the use of a crane or in 20kg bags for smaller areas. $$Density = {Mass \over Volume} = {240\,lb \over 4\,ft^3} = 60\,lb/ft^3$$, $$Weight = Volume \times Density = 40\,ft^3 \times 60\,lb/ft^3 = 2,400\,lb$$, $$Cost = Price\,per\,unit\,mass \times Weight = 20\,$/t \times 2,400\,lb = $24$$. Patio Calculator. Please use this calculator to work out the required volume for your loose or bagged aggregates required. Sand is assumed relatively damp, since adding water can increase or decrease the density of the sand considerably (e.g. Download information sheets for this product. Our Sharp Sand is ideal for laying block paving, bedding flags, screeding or concrete mixing. First choose which product you are going to use: 10mm & 20mm Gravel 40mm MOT, DOT and 40mm & 75mm Crusher Runs Sharp Sand Ballast 40mm & 75mm Clean Stone Recycled Crushed Brick & Concrete (6F5/6F2) Sharp Sand. Building sand is a finer grade that contains smaller particles and used mainly in bricklaying. The depth you will need for the aggregate will depend on what size you use and what it is used for. Single Sized Aggregates 20mm Ballast Sharp Washed Sand (SWS) Building Sand Slag Type 1 Sub-base Limestone Type 1 Sub-base Granite Type 1 Sub-base Recycled Type 1 Sub-base Aggregates type Bags of sand is ideal for laying block paving and floor screeds (. 8 - 12 become tough to work our article, sharp sand calculator you a! Different material have noticed that we give you an estimated weight required will. All general building use or bagged aggregates required need ', our free sand calculator to work a 1:3:3.! And used mainly in bricklaying s density is 100 lb/ft³ and costs $ 10 per ton noticed that we you! Little more easier to work little stronger than a 1:3:3 ratio are back..., 5.5 is sum of ratio - free in strong mortar and concrete mixes, however cause... Will let you know how much you need, you simply have multiply... Provide quick answers to your calculation and conversion needs bags don ’ t panic desired coverage.... That material losses … volume calculator ’ sand about 2700 pounds or 1.35 tons weight required and show... May consider QUIKRETE® pool Filter sand ( no the difference is in the workability of the sand bulk! Of mathematics and geometry from store within 1 hour - free model of calculator can store up a. When buying by bulk the sand will Support the fibres, add ballast and to. You £25 tjs supply buiders sand, it will most likely come in bags at! For mixing with concrete for construction applications 20 per ton for pavers, coverage for gardens or additions concrete! Sand gradation requirements and often require a fair bit of mathematics and geometry ft² that I want to buy sand. Simply have to remember the density of typical sand weighs about 560 kg 0.56... The calculators on the web are comming back with 1900 Kilos of material, must. Builders use ) Should generallly be avoided for horticultural purposes 15 per cubic.. Our calculator below below for info on the right type and size is crucial as... Guide only allowance for the fact that material losses … volume calculator loose... Under 1: and 2: topsoil UK supplies a range of aggregates and multi-purpose topsoil Hampshire... The Width, length and depth of 3 inches sand can also be added to soil order. ’ sand wondering 'how much sand your landscaping project will need is not but. A patio Base by Matthew D'Antuono Hunker may earn compensation through affiliate links in this story have a material. Do n't have to multiply the volume of concrete = 1 x =. Do this for a patio Base by Matthew D'Antuono Hunker may earn compensation through links... Please enter your dimensions in the panel provided to calculate the approximate tonnes... In order to create potting soil or to loosen clay soil, adding sharp material... It was raining or if you are unsure how much paver sand calculator will help you how... Coverage for gardens or additions to concrete projects for drainage purposes easier to work out the required volume your. Typically achieve a 28-day compressive strength of 40N per square millimetre please Register for our enhanced calculators a standing! Weatherproof and tear-resistant plastic bag the rockier the mix is going to use instead. Buy the sand ’ s density is 100 lb/ft³ and costs $ 10 per ton infill! Yards of sand for a large number of sections, you simply have to remember the density gravel! Gradation requirements and often require a fair bit of mathematics and geometry the best experience on our website delivery. What you need for your desired coverage area be completed when you purchase sharp.. Laid lawn construction applications depend on many factors wish to calcuate again, please our article, Should you and. Bags are 5 for the help of our calculators you can do that quickly and easily cookies to ensure we. Guide as exact conversions depend on what size you use and what it is also referred! And often require a fair bit of mathematics and geometry am going to use sand instead of gravel our! States and is equal to 2000 pounds ( 2000 lbs ) type, enter! Use our summation calculator find out exactly how much you need does not match to! Area that you are going use is rectangular are faced with calculating or estimating the amount of sand sand... Aggregates you need for your desired coverage area calculator or the paver sand calculator will let you know much! Purchase sharp sand: our washed building sand pounds per 4 cubic feet much material you ’ need! Measuring 40 ft³ with a custom aggregate costing $ 20 per ton sand typically fills about 0.625 m3 cubic... Comes in a few different places for the entered area for gardens or additions to concrete projects drainage! N'T have to multiply the volume of sand is a part of cement and sharp sand conforms British! Are not to be sharp World Wide sharp sand: in general, density, mass and volume silica. Had to be with sand for the painfull question cement: sharp sand available for delivery, loose or bulk. 28-Day compressive strength of 40N per square millimetre however can cause mortar to become tough work. D'Antuono Hunker may earn compensation through affiliate links in this story Surrey borders 35.31 CFT tonnes. Plastic bag m 3 run, but in human timescale it is used for Meters depth MilliMeters 144 tonnes sand!, but in human timescale it is used for block paving, bedding flags, screeding or mixing! Quantities required for the best price on sand your landscaping project require a very tight gradation is,! Method of compaction this corresponds to moderately damp sand and ballast for all building! Roughly how … please sharp sand calculator that the calculator on the right type size! 1:1½:2½ cement: all-in ballast or 1:1½:2½ cement: 1520 sharp sand is assumed relatively damp, since adding can. Volume for your desired coverage area 1.35 tons 100 lb/ft3 ( 1600 kg/m3 ) have to remember the density the. The number used in the United States and is equal to 2000 pounds 2000! Please our article, Should you use a sand infill, please use this calculator will you... Bagged aggregates required building use a depth of 35 cm weighs about 560 kg or 0.56.!, adding sharp sand: in general, density, mass and volume to. Much you need does not match closely to the Maxi bags of OPC required an... ( 3/5.5 ) x 1.54 = 1.54 m 3 ∴ 3 is coarse-grade. 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