Choose a three-dimensional shape.
Volume & Surface Area Calculator
Calculate volume and total surface area for cubes, rectangular prisms, spheres, cylinders, cones, pyramids, hemispheres, and ellipsoids.
Enter your values
Use the example values or replace them with your own. Required validation happens before the calculation.
Result
How to use the Volume & Surface Area Calculator
Follow these steps to get a reliable result and understand how it was produced.
Enter all displayed dimensions in the same unit.
Calculate to view volume, surface area, and the applied formulas.
Understanding the calculation
Each three-dimensional shape uses its standard geometry formula. Only the dimensions relevant to the selected solid are shown.
Volume measures enclosed space; surface area measures the outside coveringThe result panel substitutes your numbers into this relationship and shows the important intermediate values.
Common uses
- Packaging and storage estimates
- Architecture and engineering study
- Material and capacity calculations
Accuracy tips
- Volume is reported in cubic units and area in square units.
- The hemisphere result includes its flat circular base.
- Ellipsoid surface area uses a widely used numerical approximation.
Volume & Surface Area Calculator FAQs
Important details about formulas, inputs, limitations, and result interpretation.
What is total surface area?
It includes every exposed face or curved surface, including bases where applicable.
Does the hemisphere area include the flat base?
Yes. The calculator reports total surface area including the circular base.
Why is ellipsoid surface area approximate?
Unlike its volume, a general ellipsoid does not have a simple elementary surface-area formula, so a high-quality approximation is used.
Can I mix centimetres and metres?
No. Convert dimensions to one common unit before calculating.