How to use
Choose the solid and a length unit. A is length, cube edge, or radius; B is prism width or round-solid height; C is prism height. Unused dimensions are ignored for the selected solid.
For related tasks, try the Cubic Yard Calculator.
Formula & how it works
Prism = lwh; cube = s³; cylinder = πr²h; sphere = 4πr³/3; cone = πr²h/3. 1 m³ = 1,000 liters.
Worked example
Example 1
A 3 ft × 4 ft × 5 ft prism contains 60 ft³ = 2.2222 yd³ ≈ 1.6990 m³.
Assumptions & practical notes
Round solids use radius, not diameter. For cylinders and cones, B is perpendicular height; C is unused.
Conversions use US liquid gallons, not Imperial gallons. A container’s internal dimensions determine usable capacity.
See our calculation methodology for unit definitions and testing practices.
Results are estimates for planning purposes. Verify measurements, product specifications, and applicable building codes before purchasing materials or starting work.
Frequently asked questions
Does a cone have the same volume as a cylinder?
With the same radius and height, its volume is one third of the cylinder’s.
Are surface area and volume interchangeable?
No. Surface area uses square units; volume uses cubic units.
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