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Area & volumeMCQ · 1 mark

Farid stores his model railway in a rectangular cardboard box. The box has a square end face with an area of 64 cm², and its length is 20 cm. What is the volume of the box?

  1. 64 cm³
  2. 160 cm³
  3. 1280 cm³
  4. 10 240 cm³
Need a hint?

The end face is a square. Find two equal side lengths whose product is 64, then use the face area to calculate the volume.

Worked answer

  1. The square face has side length 8 cm because 8 × 8 = 64.
  2. Volume = area of square face × length = 64 × 20 = 1280 cm³.
Answer: 1280 cm³

The mistake this question tests

Habit

Area and perimeter formulas

Some pupils find the 8 cm side and multiply 8 × 20, forgetting that the square face has two sides of 8 cm.

How to fix it at home →

Wrong answers children often give:

  • 64 cm³ Left out the units
  • 160 cm³ Area and perimeter formulas
  • 10 240 cm³ Area and perimeter formulas

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