Calculate volume for common 3D solids. Choose a shape, enter the needed measurements, and get the cubic-unit result with the formula and steps.
Volume measures the space inside a three-dimensional object. A rectangular prism with length 8, width 5, and height 3 has volume 120 cubic units because V = l × w × h = 8 × 5 × 3.
Rectangular prism volume
- Choose the correct solid.
- Enter the dimensions required by the volume formula.
- Substitute values and calculate the cubic-unit result.
All calculations run locally in your browser. Your entered values are not sent to an external service.
How do I use the volume calculator?
Select a 3D shape, enter the required dimensions, and choose Calculate Volume. The calculator shows the volume in cubic units and displays the formula steps.
What is volume?
Volume is the amount of three-dimensional space inside a solid. It is written in cubic units because the measurement combines length, width, and height.
Area measures a flat surface. Surface area measures the outside of a solid. Volume measures the inside space.
What volume formulas are included?
This calculator includes rectangular prisms, cubes, spheres, cylinders, cones, square pyramids, triangular prisms, and ellipsoids. These cover common school, homework, and practical volume problems.
What are volume calculation examples?
Rectangular prism example
A box with length 8, width 5, and height 3 has volume 8 × 5 × 3 = 120 cubic units.
Cylinder example
A cylinder with radius 4 and height 10 has volume π × 4² × 10 ≈ 502.65 cubic units.
Sphere example
A sphere with radius 7 has volume 4/3 × π × 7³ ≈ 1436.76 cubic units.
What is the volume formula chart?
| Solid | Volume formula | Required values |
|---|---|---|
| Rectangular prism | V = lwh | length, width, height |
| Cube | V = s³ | side |
| Sphere | V = 4/3πr³ | radius |
| Cylinder | V = πr²h | radius, height |
| Cone | V = 1/3πr²h | radius, height |
| Square pyramid | V = s²h / 3 | base side, height |
| Triangular prism | V = 1/2bhL | triangle base, triangle height, prism length |
| Ellipsoid | V = 4/3πabc | three semi-axes |
What volume mistakes should I avoid?
Using square units instead of cubic units
Volume uses cubic units such as cm³, m³, ft³, or units³.
Confusing diameter and radius
Sphere, cylinder, and cone formulas use radius. If you have diameter, divide it by 2 first.
Using slant height for cone volume
Cone volume uses vertical height, not slant height.
Mixing measurement units
Convert all dimensions to the same unit before calculating volume.
Volume Calculator FAQs
How do you calculate rectangular prism volume?
Multiply length by width by height. The formula is V = lwh.
How do you calculate cylinder volume?
Square the radius, multiply by π, then multiply by height. The formula is V = πr²h.
How do you calculate sphere volume?
Cube the radius and multiply by 4/3π. The formula is V = 4/3πr³.
Is volume the same as capacity?
They are related. Volume measures space inside a solid; capacity usually describes how much a container can hold.
Are my values sent to a server?
No. The calculation runs locally in your browser.
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Reviewer
This non-medical math content is reviewed under the SolverCalc reviewer rule by Prof. Dr. Khalil Mudassar. WordPress adds the author bio automatically, so this page does not include a duplicate author box.
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Disclaimer
This calculator is for educational and practical geometry use. For construction, engineering, shipping, or legal measurements, verify dimensions and formulas with the required professional standard.