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Question
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
Options
512 m3
64 m3
216 m3
256 m3
Solution
The lateral surface area of a cube is 256 m2. The volume of the cube is 512 m3.
Explanation:
The formula of the lateral surface area of a cube is 4(edge)2.
So, 4(edge)2 = 256
(edge)2 = `256/4`
(edge)2 = 64
edge = `sqrt(64)` = 8 m
Therefore, volume of cube = (edge)3 = 83 = 512 m3
Hence, the volume of the cube is 512 m3.
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