GATE | GATE-CS-2016 (Set 1) | Question 5

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the
removal is __________.

(A) 56
(B) 64
(C) 72
(D) 96


Answer: (D)

Explanation: The surface area of the body will remain unchanged as when a cube is removed, it exposes three faces, which makes the number of exposed faces same as before removal.
 
So, surface area of the body before removal = surface area of the body after removal = 6 * side * side = 6 * 4 * 4 = 96.
 
Thus, D is the correct choice.

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