Question

If the length of side of a cube is doubled then the ratio of volumes of new cube and original cube is what?

Answer 1

Let x be the original length of the side.

After it is doubled, the length is 2x.

Volume = Length³

Original volume = x³

New volume = (2x)³ = 8x³

Answer: The volume has increased 8 times.

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Alternative method:

The increase in volume is the cube of the increase in length

⇒ length is doubled

⇒ length is increase to 2 times

⇒ volume increased to (2)³ = 8 times

Answer: The volume has increased 8 times.

Answer 2

here is your answer OK dude Let initial length be ‘a’ , then volume will be V = a ^ 3

After doubling the size length, it will be 2 * a and volume will be V’ = (2 * a) ^ 3 = 8 * a ^ 3

So, Answer = V’ / V = 8

solution second

Since you are going to be doubling all 3 sides of the cube. Let's say the original volume was 1.

Doubled everything would turn out to be the volume 8.

2(2•2)=8

1(1•1)=1