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Nanyang 2025 P6 Maths Prelim — Paper 1 Booklet B Q20 Solution

Paper 1 Booklet B · Q20 · 1 mark · Volume of Cube and Cuboid

Question

The structure is made up of identical cubes. Without rearranging the cubes, what is the least number of such cubes that must be added to make the structure into a cuboid?
Answer: 48

Worked solution

  1. The smallest cuboid that can enclose the structure has dimensions $4 \times 4 \times 4 = 64$ unit cubes. The structure already contains $16$ cubes, so $64 - 16 = 48$ cubes must be added.

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