Volume of Solids Calculator
Every geometric solid has its own volume formula. Pick the solid — cube, box, sphere, cylinder, cone or pyramid — enter the measurements, and the calculator returns the volume and the formula it used.
Your numbers
Result
- Solid
- Cube
- Formula used
- 3³
| Step | Detail |
|---|---|
| Solid | Cube |
| Formula | 3³ |
| Volume | 27 |
The volume formulas
Cube: edge³. Box: length × width × height. Sphere: 4/3 × π × radius³. Cylinder: π × radius² × height. Cone: the same as the cylinder divided by 3. Pyramid: base area × height ÷ 3. A cone or pyramid is exactly one third of the cylinder or prism with the same base and height.
Volume and capacity
Volume in cubic meters becomes liters by multiplying by 1,000 (1 m³ = 1,000 L); in cubic inches, a US gallon is 231 in³. This is how you get the capacity of a tank, water butt or container from its dimensions.
Keep the units consistent
Use all measurements in the same unit before calculating. Because volume cubes the length, a unit slip is magnified: mixing cm and m throws the result off by a factor of a million. Convert everything first, then apply the formula.
Frequently asked questions
Sources
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<script>window.addEventListener("message",function(e){if(e.data&&e.data.type==="contania:embed-height"){var f=document.querySelector('iframe[src="https://contania.app/embed/math/volume-of-solids"]');if(f){f.style.height=e.data.height+"px"}}});</script>Related calculators
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