Sand calculator

A 10 ft by 10 ft area covered 1 inch deep needs 0.31 cubic yards of sand, about 0.43 tons at 2,795 lb per loose cubic yard. The calculator uses 2,795 lb per loose cubic yard, the middle of Missouri DOT's 2,630–2,960 lb per cubic yard.

Shape of the area
ft
ft
in
Result
0.43 tons

A 10 ft by 10 ft area covered 1 inch deep needs 0.31 cubic yards of sand, about 0.43 tons at 2,795 lb per loose cubic yard.

Cubic yards
0.31
Cubic feet
8.3
Tons
0.43
Pounds
863
Tons at the published range, same condition
0.38–0.46
Tons for a compacted layer this thick (3,005 lb/yd³, Missouri DOT)
0.46
Rounded up to the next half yard
0.5 yd³

How it is calculated

  1. Area = 10 ft × 10 ft = 100 sq ft.
  2. Volume = 100 sq ft × 1 in ÷ 12 = 8.33 cu ft.
  3. Cubic yards = 8.33 ÷ 27 = 0.309 yd³.
  4. Weight = 0.309 yd³ × 2,795 lb/yd³ = 863 lb; ÷ 2,000 lb per ton = 0.43 tons.
TOP VIEWSECTION10 ft10 ft1 inSandground

How to calculate sand in cubic yards and tons

The worked numbers use the calculator's defaults: a 10 ft by 10 ft area 1 inch deep, the calculator's default depth for sand.

Step 1: area in square feet

Rectangle: length × width

Circle: π × diameter² ÷ 4

Triangle: base × height ÷ 2

Example 10 ft × 10 ft = 100 sq ft

Split an irregular area into rectangles, circles and triangles and add their areas.

Step 2: cubic feet from area and depth

Cubic feet = area in sq ft × depth in inches ÷ 12

Example 100 × 1 ÷ 12 = 8.33 cu ft

Step 3: cubic yards from cubic feet

Cubic yards = cubic feet ÷ 27

Example 8.33 ÷ 27 = 0.309 cubic yards

Step 4: tons from cubic yards

Tons = cubic yards × pounds per cubic yard ÷ 2,000

Example Sand at 2,795 lb per loose cubic yard, the middle of Missouri DOT's 2,630–2,960 lb per cubic yard: 0.309 × 2,795 ÷ 2,000 = 0.43 tons

Step 5: a finished, compacted layer

Tons = compacted cubic yards × pounds per compacted cubic yard ÷ 2,000

Example 0.309 × 3,005 lb per compacted cubic yard, the middle of Missouri DOT's 2,830–3,180 lb per cubic yard ÷ 2,000 = 0.46 tons

Sand for common areas

Sand for areas of 50 to 1,000 sq ft at the published depths: cubic yards and tons at 2,795 lb per loose cubic yard
Area, sq ft1 inch deep9 inches deep
500.15 yd³ · 0.22 t1.39 yd³ · 1.94 t
1000.31 yd³ · 0.43 t2.78 yd³ · 3.88 t
2000.62 yd³ · 0.86 t5.56 yd³ · 7.76 t
5001.54 yd³ · 2.16 t13.89 yd³ · 19.41 t
1,0003.09 yd³ · 4.31 t27.78 yd³ · 38.82 t

How much does a yard of sand cover?

One cubic yard of sand covers 324 sq ft at 1 inch deep; one ton at 2,795 lb per loose cubic yard covers 232 sq ft at the same depth.

Square feet one cubic yard and one ton (at 2,795 lb per loose cubic yard) of sand covers by depth
Depth, in1 cubic yard covers, sq ft1 ton covers, sq ft
1324232
2162116
310877
48158
65439
84129
122719
0100200300400051015Area covered, sq ftDepth, in123468121 cubic yard1 ton
  • 1 cubic yard
  • 1 ton
Area one cubic yard and one ton of sand covers by depth.

Recommended sand depth by use

Published depths for sand run from 1 inch to 9 inches, depending on the use; each row names its document.

Sand depths as published, with the area one cubic yard covers at that depth
UseDepth, in1 cubic yard covers, sq ftSource
Paver bedding sand1324Oklahoma State University, Facilities Management, Landscape Services
Paver bedding layer, coarse sand1324Unilock
Playground loose-fill sand, minimum compressed depth936U.S. Consumer Product Safety Commission

Sand weight per cubic yard

Published weights of a cubic yard of sand run from 2,430 to 3,510 lb across 8 values from 4 documents, measured in different conditions. The calculators use 2,795 lb per loose cubic yard, the middle of Missouri DOT's 2,630–2,960 lb per cubic yard, because Missouri DOT marks its range as loose; the higher values are compacted or wet sand. One ton of sand is about 0.72 cubic yards.

Weight of sand used by the calculator, its document row and condition, with the ranges of published values
Pounds per cubic yard2,795
Published as“Sand, loose”, 2,630–2,960 lb/yd³, Missouri DOT; condition: loose.
Published range, same condition, lb2,430–2,970
All published values, any condition, lb2,430–3,510
Tons per cubic yard1.4
Cubic yards per ton0.72

Every published value with its source, and tables of weight by volume and yards by tons: Sand weight.

Sand bags in a cubic yard

Bags of sand per cubic yard and for the 10 by 10 ft example at 1 inch, by bag size; bags sold by weight use 2,795 lb per loose cubic yard, so their count per yard is approximate
Bag sizeBags per cubic yardBags for the example
50 lbabout 5618
60 lbabout 4715
70 lbabout 4013

Sand compared with other gravel and stone

Weight of a cubic yard as published, its condition (loose, compacted or not stated) and cubic yards per ton of the gravel and stone on this site, heaviest first; weights in different conditions are not comparable
MaterialConditionPounds per cubic yardCubic yards per ton
Crusher runcompacted3,7700.53
Pea gravelnot stated2,8400.7
Sandloose2,7950.72
River rocknot stated2,6500.75
Rockloose2,5700.78
Gravelloose2,5650.78
02,0004,000Weight, lb per cubic yardMaterialCrusher runCrusher run, Pounds per cubic yard: 3,7703,770Pea gravelPea gravel, Pounds per cubic yard: 2,8402,840SandSand, Pounds per cubic yard: 2,7952,795River rockRiver rock, Pounds per cubic yard: 2,6502,650RockRock, Pounds per cubic yard: 2,5702,570GravelGravel, Pounds per cubic yard: 2,5652,565
Weight of a cubic yard of the gravel and stone on this site.

Sand questions

How much sand do I need?

A 10 ft by 10 ft area covered 1 inch deep needs 0.31 cubic yards of sand, about 0.43 tons at 2,795 lb per loose cubic yard. One cubic yard of sand covers 324 sq ft at 1 inch deep, so divide the area in square feet by 324 for the cubic yards at that depth.

Why the sand you need can differ from the result

The weight of sand changes with the source, the moisture and how tightly it is packed, so published values differ (here from 2,430 to 3,510 lb per cubic yard across all conditions). Before ordering, ask the supplier for the weight per yard of their own material and enter it as your own density under More options.

For a finished, compacted layer the result also gives the tons at 3,005 lb per compacted cubic yard, the middle of Missouri DOT's 2,830–3,180 lb per cubic yard.

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