Multiple choice

A solid cube having volume 46656 cm3 is cut into 27 cubes of equal volume. The surface area (in cm2) of the smaller cubes is:

  1. 864

  2. 756

  3. 936

  4. 921
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A Correct answer
Explanation

Volume of large cube = 46656. Volume of small cube = 46656 / 27 = 1728. Side of small cube = cube root of 1728 = 12. Surface area of one small cube = 6 * side^2 = 6 * 144 = 864.

AI explanation

The side length of the original cube is the cube root of 46656, which is 36 cm. When cut into 27 smaller cubes, each smaller cube has a side length of 36 divided by 3, equaling 12 cm. The surface area of one smaller cube is 6 times the side squared, giving 6 times 144, which results in 864 cm2.

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