Question

The length of the side of a cube is doubled. What is the new volume?

Answer 1

Eigth time as much

Explanation:

Volumes scales to the third power with respect to the sides. In fact, if we start with a side of `l`, we have volume `l^3`.

When we double the side, we have side `2l`, which leads to a volume of `(2l)^3 = 2^3l^3 = 8l^3`

The ratio between the new and old volumes is

`\frac{8\cancel(l^3)}{cancel(l^3)}=8`

Answer 2

Let side is a cube `=a`.
Given that It is doubled
So Side `=2a`

We know that Volume of cube =`a^3`
The double side cube has a volume `=(2a)^3=8a^3`

Therefore, volume =8a^3

Explanation:

The new volume is 8 times the initial volume (or `2^3` times)