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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