Sand Calculator Formula

Understand the math behind the sand calculator. Each variable explained with a worked example.

Formulas Used

Volume (Cubic Feet)

cubic_feet = length * width * depth_ft

Volume (Cubic Yards)

cubic_yards = length * width * depth_ft / 27

Weight (Tons)

tons = length * width * depth_ft / 27 * 1.35

Variables

VariableDescriptionDefault
lengthLength(feet)20
widthWidth(feet)10
depthDepth(inches)2
depth_ftDerived value= depth / 12calculated

How It Works

How to Calculate Sand Needed

Formula

Cubic Yards = (Length × Width × Depth in feet) / 27

Tons = Cubic Yards × 1.35

Sand weighs approximately 2,700 lbs (1.35 tons) per cubic yard. Weight varies with moisture content and sand type: dry sand is about 1.3 tons/cu yd, damp sand about 1.4 tons/cu yd.

Worked Example

A sandbox area 20 ft by 10 ft with 2 inches of sand.

length = 20width = 10depth = 2
  1. 01Depth in feet: 2 / 12 = 0.167 ft
  2. 02Volume = 20 × 10 × 0.167 = 33.33 cu ft
  3. 03Cubic yards = 33.33 / 27 = 1.23 cu yd
  4. 04Tons = 1.23 × 1.35 = 1.67 tons

Ready to run the numbers?

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