Question

A 5 cm cube is cut into as many 1 cm cubes as possible. what is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

Answer 1

Hey


The volume of the larger cube = 53 = 125 cm3.

The volume of each of the smaller cubes = 13 = 1 cm3. Therefore, one would get 125 smaller cubes.

The surface area of the larger cube = 6a2 = 6(52) = 6 * 25 = 150

The surface area of each of the smaller cubes = 6 (12) = 6.

Therefore, surface area of all of the 125, 1 cm3cubes = 125 * 6 = 750.

Therefore, the required ratio = 150 : 750 = 1 : 5

HOPE IT HELPS YOU

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