Question
A 3x3x3 cube has three square holes, each with a 1 by 1 cross-section running from the centre of each face to the centre of the opposite face. The total surface area (in square units) of the resulting solid is:
Answer: Option C
:
C
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:
C
The surface area of the solid consists of 6 faces of dimension 3 × 3 each with a 1 × 1 square hole.
The walls of the 6 holes can each be unfolded to form 1 × 4 rectangles.
Thus the surface area is 6(3×3-1×1)+6×4 = 72
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