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A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?
- A96 + 64√2
- B80 + 64√2
- C96 + 48√2
- D80 + 48√2
Answer not set
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CCommunity
Total surface area of a part = Area of one face of the cube + 2 × 1/4 × Area of top face + 2 × (Side of cube) × (1/2 × face diagonal)
⇒ 8 × 8 + 1/2 × 64 + 2 × 8 × ½ × 8√2
⇒ 64 + 32 + 64√2
⇒ 96 + 64√2
⇒ 8 × 8 + 1/2 × 64 + 2 × 8 × ½ × 8√2
⇒ 64 + 32 + 64√2
⇒ 96 + 64√2