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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

  • A.3
  • B.4
  • C.7
  • D.8

Answer: A

The minimum is 3 cuts.

Make one straight cut through the middle parallel to each pair of opposite faces: the first halves the cube, the second (at right angles) gives four quarters, and the third (perpendicular to both) gives eight equal smaller cubes.

Fewer cuts cannot work, because each full cut through the solid at most doubles the number of pieces, so two cuts give at most 4 pieces. Four, seven or eight cuts would produce more pieces than 8 or are more cuts than necessary.

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