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Topic: Perimeter, Area and Volume (Foundation - Unit 3)

Specification References: G4.4

G4.4 Calculate volumes of right prisms and of shapes made from cubes and cuboids.


Candidates should be able to:

  • recall and use the formula for the volume of a cuboid
  • recall and use the formula for the volume of a cylinder
  • use the formula for the volume of a prism
  • work out the volume of a cube or cuboid
  • work out the volume of a prism using the given formula, for example a triangular prism
  • work out the volume of a cylinder

Examples

  1. The area of the base of a cylinder is 20 cm².

    The height of the cylinder is 7 cm.

    Work out the volume of the cylinder.

    State the units of your answer.


view more examples

  1. A cuboid has the same volume as a cube with edges of length 8cm.

    a.  Work out possible values for the length, width and height of the cuboid if all three lengths are different
    b.  Work out possible values for the length, width and height of the cuboid if two of the lengths are the same.


  2. The volume of a cuboid is 36 cm³.

    The area of one of the faces is 9 cm².

    All edges are a whole number of centimetres long.

    The length, width and heights are all different.

    Work out the length, width and height of the cuboid.