The volume of a cuboid is twice the volume of a cube. If the dimensions of total cuboid are 9 cm, 8 cm and 6 cm, then total surface area of the cube will be?

Q: The volume of a cuboid is twice the volume of a cube. If the dimensions of total cuboid are 9 cm, 8 cm and 6 cm, then total surface area of the cube will be?

Volume of the cuboid = 9 x 8 x 6 = 432 cm3 Volume of the cube = 1/2 x 432 = 216 cm3 ∴ Each side of cube = ∛216 = 6 cm Total surface area of the cube = 6 x (Side)2 = 6 x 62 = 6 x 36 = 216 sq cm

213 sq cm
216 sq cm
218 sq cm
219 sq cm

Correct Answer: 216 sq cm

Explanation:

Volume of the cuboid = 9 x 8 x 6 = 432 cm³
Volume of the cube = 1/2 x 432 = 216 cm³
∴ Each side of cube = ∛216 = 6 cm
Total surface area of the cube = 6 x (Side)² = 6 x 6²
= 6 x 36 = 216 sq cm

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