Question

find the side length of a cube given its volume

Answer 1

Solution:

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:

$\frac{8}{64}=a^3$

Solving for a, we get:

$(\frac{8}{64})^{\frac{1}{3}}\text{ = a}$

this is equivalent to say:

$a\text{ = }\frac{1}{2}=\text{ 0.5}$

then, we can conclude that the side length is:

$a\text{ = 0.5}$