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​If length of each side of a cube is doubled, then its volume ____________ the original volume.​
Question

If length of each side of a cube is doubled, then its volume ____________ the original volume.

A.

is doubled

B.

becomes 9 times

C.

becomes 8 times

D.

becomes 6 times

Correct option is C

Given:

If length of cube is double then volume is how much times it's original volume 

Formula Used:

Volume(V)=side3(V) = \text{side}^3​​

Solution:

Let the original side length of the cube be s.

Then, the original volume is:

Voriginal=s3V_{\text{original}} = s^3​​

If the side length is doubled, the new side length becomes 2s2s2s.

The new volume is:

Vnew=(2s)3=8s3V_{\text{new}} = (2s)^3 = 8s^3

So

Vnew=8×VoriginalV_{\text{new}} = 8 \times V_{\text{original}}​​

Thus the new volume is 8 times the original volume.

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