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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 ___________.
- 56
- 64
- 72
- 96
Correct answer: 96
Solution
Removing a block from each of the 8 corners of the cube increases the surface area because each corner removal exposes 3 new faces of the cube. The original surface area of the cube is 6 times the area of one face (6 units), and after removing the corners, the total surface area increases to 96 square units.
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