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A cube with all the sides painted was divided into small cubes of equal measurement. The side of a small cube is exactly one fourth as that of the big cube. Therefore, the number of small cubes with only one side painted is

A cube with all the sides painted was divided into small cubes of equal measurement. The side of a small cube is exactly one fourth as that of the big cube. Therefore, the number of small cubes with only one side painted is Correct Answer 24

Given:

A cube with all sides painted was divided into small cubes of equal measurement

One- fourth means side cut in 4 equal part

Formula used:

Number of sides with one side painted = 6 × (n – 2)2

where, n = number of times, a side divided or cut

Calculation:

Number of sides with only one side painted = 6 × (4 – 2)2

⇒ 6 × 22

⇒ 24

∴ The number of sides with only one side painted is 24

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