Volume & Surface Area

Calculate the volume and surface area of cubes, prisms, cylinders, cones and spheres, with formulas and units shown. Try “volume and surface area of a cone with r = 4, h = 9”.

Try an example:

How the Volume & Surface Area works

  1. Name the solid and list the given dimensions.
  2. For a cone, find the slant height l = √(r² + h²) if it is needed.
  3. Substitute into V = ⅓πr²h and S = πr² + πrl, and give cubic or square units.

Frequently asked questions

What is the volume of a sphere?

V = 4/3 πr³, and its surface area is 4πr².

What is the difference between volume and surface area?

Volume is the space inside a solid (cubic units); surface area is the total area of its outside (square units).

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