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Question
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
Solution
Let each side of the cube be a, then its volume = a3 ...[∵ Volume of a cube = (side)3]
If side reduced to one fourth = `a xx 1/4 = a/4`
Now, its volume = `(a/4)^3 = a^3/64`
Hence, new volume `1/64` times of original volume.
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