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Methodist Girls' School (Primary) 2025 P6 Maths Prelim — Paper 1 Booklet A Q14 Solution

Paper 1 Booklet A · Q14 · 2 marks · Volume of Cube and Cuboid

Question

A cuboid measuring 12 cm by 7 cm by 7 cm was dipped into some red paint. The cuboid was then cut into 1-cm cubes. How many of the cubes would have none of their surfaces painted red?
Answer: 4

Worked solution

  1. \text{Unpainted cubes form the inner block, one layer in from every face}
  2. (12 - 2) \times (7 - 2) \times (7 - 2) = 10 \times 5 \times 5 = 250

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