2026 CSS P1 Q7

2026 CSS P1 Q7

Secondary 4
4 marks

The dimensions of a rectangular box are \(60\text{ cm}\) by \(54\text{ cm}\) by \(42\text{ cm}\).

The box is to be filled with identical cubes of \(k\text{ cm}\) so that there will be no empty space.

  1. Find the largest value of \(k\).[2]
  2. Using your answer in (a), find the total number of cubes the box can hold.[2]

Solution:

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Answer:(a) \(6\text{ cm}\) (b) \(630\)

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