This volume calculator computes the volume and surface area of common 3D shapes like boxes, cylinders, cones, and spheres.
Math
Volume Calculator
Calculate volume and surface area of common solids.
Calculator
About this calculator
Formula notes
Box V = lwh; cylinder V = πr²h; cone V = ⅓πr²h; sphere V = (4/3)πr³. Surface-area formulas vary by shape.
Worked examples
- Example: a 5 × 4 × 3 box has volume 60 and surface area 94, matching the page defaults.
- A cylinder with radius 3 cm and height 10 cm has volume pi x 3^2 x 10, or about 282.743 cm3.
How to use it
- Select the 3D shape first.
- Enter the dimensions the shape requires.
- Read volume in cubic units and surface area in square units.
Frequently asked questions
Are the units the same for volume and surface area?
No. Volume uses cubic units (like cm³); surface area uses square units (cm²).
How do I measure a cone's height?
Use the perpendicular height from base center to tip, not the slant height.
Limits and interpretation
- The formulas assume ideal solids with the selected dimensions; wall thickness, hollow regions, bevels, and irregular geometry are excluded.
- Every linear input must use one unit, and the output is cubic rather than a liquid-capacity unit until converted.