Question

#15. A cube has a volume of 200 cm ^2 write the

edge length of the cube as a radical in simplest form

Answer 1

`2(25)^{(1)/(3)}`

Explanation:

The volume of a cube is 200 cm².

We need to find the edge length of the cube.

The formula for the volume of a cube is given by :

`V=a^3`

a is the side of the cube

`a=\sqrt[3]{200} \\\\=(200)^{(1)/(3)}\\\\=(25* 8)^{(1)/(3)}\\\\=(25)^{(1)/(3)}* (8)^{(1)/(3)}\\\\=2(25)^{(1)/(3)}`

So, the edge length of the cube is
`2(25)^{(1)/(3)}`.