Question : The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m × 8 m × 16 m), the total surface area of the cube is:
Option 1: 316 m2
Option 2: 288 m2
Option 3: 324 m2
Option 4: 384 m2
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Correct Answer: 384 m 2
Solution : Given: The volume of a cuboid is twice that of a cube and its dimensions are 8 m × 8 m × 16 m. Volume of cuboid = Length × Breadth × Height Let the side of a cube be a. Volume of the cube = a 3 According to the question, 8 × 8 × 16 = 2a 3 $\therefore$ a = 8 m The total surface area of the cube = 6a 2 = 6 × 8 2 = 384 m 2 Hence, the correct answer is 384 m 2 .
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