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What will happen to the volume of the cube, if its edge is reduced to one-fourth? - Mathematics

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प्रश्न

What will happen to the volume of the cube, if its edge is reduced to one-fourth?

योग
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उत्तर

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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अध्याय 11: Mensuration - Exercise [पृष्ठ ३५८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 11 Mensuration
Exercise | Q 111. (b) | पृष्ठ ३५८

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