Question

Find the side length of a cube given its volume

Answer 1

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

`V=a^3`

where a is the side length. Then, if V = 8/63, we have that:

`(8)/(64)=a^3`

Solving for a, we get:

`((8)/(64))^{(1)/(3)}\text{ = a}`

this is equivalent to say:

`a\text{ = }(1)/(2)=\text{ 0.5}`

then, we can conclude that the side length is:

`a\text{ = 0.5}`