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The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is :
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- 72 cm²
- 216 cm²
- 432 cm²
- 108 cm²
- 72 cm²
Correct Option: B
We have 2 × volume of cube = Volume of cuboid
⇒ 2 × (edge)³ = 9 × 8 × 6 cu.cm.
⇒ (edge)³ = 9 × 8 × 3
⇒ Edge = ³√3 × 3 × 3 × 2 × 2 × 2
= 3 × 2 = 6 cm.
∴ Total surface area of the cube = 6 × (edge)² = 6 × 6 × 6 = 216 cm².
