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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


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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