A cube of side 6 cm is cut into identical small cubes of side 2 cm. Find the ratio of the combined surface area of all the small cubes to the surface area of the original cube.

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Accepted Answer

3:1. Number of small cubes = (6/2)³ = 27. Each has surface area 6 × 2² = 24 cm², so the total is 27 × 24 = 648 cm². The original cube has 6 × 6² = 216 cm². Ratio = 648 : 216 = 3 : 1.

A cube of side 6 cm is cut into identical small cubes of side 2 cm. Find the ratio of the combined surface area of all the small cubes to the surface area of the original cube.

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