Multiple choice

A solid cube with a volume of (13824 cm^3) is cut into eight cubes of the same volume. The ratio of the surface area of the original cube and the total sum of the surface area of three smaller cubes will be:

  1. 2 : 3

  2. 2 : 1

  3. 4 : 3

  4. 8 : 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume = 13824 = 24³, so original cube side = 24. Original surface area = 6 × 24² = 3456. When cut into 8 equal cubes, each small cube has side = 24/2 = 12. Each small cube surface area = 6 × 12² = 864. Three small cubes total = 3 × 864 = 2592. Ratio = 3456 : 2592 = 4 : 3.

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