Question

If the sides of a cube are doubled in length then find the increament in its volume.

Answer 1

Let the length of side of the cube be $a$ units.

Then its volume is $\left(v\right)=a^3$.

Now if the sides are doubled then the new side length will be $2a$.

Then volume of the cube will be $\left(v^{\prime }\right)=(2a{)}^3=8a^3=8v$.

So the volume will be $8$ times the original volume.