Verified Mathematical Model & Formulation
Volume (cu yd) = Length (ft) × Width (ft) × Depth (in) / 324 Weight (Tons) = Volume (cu yd) × 1.1 tons/yd³
Calculates geometric volume and converts to cubic yards and weight using standard topsoil density (~2,200 lbs or 1.1 tons per loose cubic yard).
Configurable Parameters & Standard Units
- Length: (Default: 16 ft)
- Width: (Default: 4 ft)
- Depth: (Default: 8 in)
Standard Worked Example & Practical Verification
Scenario: Filling three raised cedar planter beds, each 8 ft long × 4 ft wide × 10 inches deep.
Calculated Solution
3.26 Cubic Yards (approx. 3.6 Tons)
Practical Takeaway: Order a bulk 3.5 cubic yard delivery of blended 50/50 topsoil and compost.
Frequently Asked Questions
How much does a cubic yard of topsoil weigh?
One cubic yard of typical damp topsoil weighs approximately 2,000 to 2,400 lbs (1.0 to 1.2 US tons).