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GATE CSE 2024 Session 2 Q9: Minimum straight cuts to divide a cube into 8 equal pieces

Question

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.

The minimum number of such cuts required is

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Answer: A (official GATE 2024 final answer key)

Concept used: Each full plane cut can at most double the number of pieces.

First step: Cut once along each of the three mid-planes (parallel to the three pairs of faces): 2×2×2=82 \times 2 \times 2 = 8.

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Source: official GATE 2024 Session 2 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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