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Find the length of each side of a cube if its volume is 512 cm3. - Mathematics

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Question

Find the length of each side of a cube if its volume is 512 cm3.

Sum

Solution

From the question it is given that, 

Volume of the cube = 512 cm3

We know that,

Volume of cube = side3

512 = side3

By taking cube root on both the side,

`root(3)(512)` = side

Side = `root(3)(8 xx 8 xx 8)`

Side = `root(3)(8^3)`

Side = 8 cm

∴ The length of each side of a cube is 8 cm.

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 95]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 118. | Page 95

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