# Aptitude | Mensuration 3D | Question 3

A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of all the smaller cubes?**(A)** 2:3**(B)** 1:5**(C)** 2:7**(D)** 1:8**Answer:** **(B)****Explanation:** The volume of the original cube = 5^{3} = 125 cm^{3}.

The volume of a smaller cubes = 1^{3} = 1 cm^{3}.

we will be getting total cubes = 125

The surface area of the larger cube = 6*a^{2} = 6(5^{2}) = 6 * 25 = 150

The surface area of each of the smaller cubes = 6 (1^{2}) = 6.

Therefore, surface area of all of the 125, 1 cm^{3} cubes = 125 * 6 = 750.

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

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