Cubic Yard Calculator Formula

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

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Formulas Used

Cubic Yards

cubic_yards = volume_cuft / 27

Cubic Feet

cubic_feet = volume_cuft

Cubic Meters

cubic_meters = volume_cuft * 0.0283

Variables

VariableDescriptionDefault
lengthLength(ft)10
widthWidth(ft)10
depthDepth(in)4
volume_cuftDerived value= length * width * depth / 12calculated

How It Works

Cubic Yard Calculation

Volume (cu ft) = Length × Width × Depth(in) / 12

Cubic Yards = Cubic Feet / 27

1 cubic yard = 27 cubic feet = 0.7646 cubic meters.

Worked Example

10×10 ft area, 4 inches deep.

length = 10width = 10depth = 4
  1. 01Volume = 10 × 10 × 4/12 = 33.3 cu ft
  2. 02Cubic yards = 33.3 / 27 = 1.23 yards

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