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

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Answer 1 · 2018-05-16T08:53:12

Eigth time as much

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 · 2018-05-16T08:54:27

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

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