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Question
If a cube fits exactly in a cylinder with height h, then the volume of the cube is ______ and surface area of the cube is ______.
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Solution
If a cube fits exactly in a cylinder with height h, then the volume of the cube is h3 and surface area of the cube is 6h2.
Explanation:
Since, the cube fits exactly in the cylinder with height h, therefore each side of the cube = h
Now, volume of the cube = (Side)3 = h3
And surface area of the cube = 6 × (Side)2
= 6 × h2
= 6h2
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