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Question

A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.


A

16

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B

96

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C

64

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D

32

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Solution

The correct option is C

64


Given, volume of entire cube = 512cm3 and the cube is cut into x smaller cubes of volumes 8cm3

Implies, there is shape conversion, but the volume remains same.
volume of entire cube = x×volume of one smaller cube

x=volume of entire cubevolume of 1 smaller cube

=5128=64

Therefore, the entire cube is cut into 64 smaller cubes.


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