GATE 2016 CE (CE1) – 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 __________.
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Correct answer: (D) 96
Explanation
The original cube has side4 units and surface area6·4²=96 square units. Each corner cube removes three exposed unit faces but reveals three previously internal unit faces. The net surface-area change per corner is zero, and the eight removals do not overlap. Thus the remaining exposed area is **96, D**.