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Calculations - Volume

Biology: Cambridge International A Level, topic 4.2.7

Volume of 3D Shapes

Fun fact! The examiners are kind enough to make you do surface area and volume calculations. Learn the formulae below.

Prism

Prism

  • Volume = area of base × length.
Cuboid

Cuboid

  • Remember that a cuboid is a prism with a rectangular base.
  • Volume = width × height × length = area of base × length.
Cylinder

Cylinder

  • The area of a circle is πr2 so:
  • V = πr2 × h
  • Where h is the height of the cylinder.

Volume of 3D Shapes

Gimme more.

Sphere

Sphere

  • The volume of a sphere is:
  • V = 4⁄3πr3
Hemisphere

Hemisphere

  • A hemisphere is half a sphere, so its volume is half that of a sphere:
  • V = 2⁄3πr3

Test yourself on Calculations - Volume

  • V = πr2 × height
    What is this the formula for?

  • What is the formula for the volume of a prism?

  • What is the formula for the volume of a cuboid?

  • What is the formula for the volume of a cylinder?

  • What is the formula for the volume of a sphere?

Practise this topic for free