Question

Zayne is building a dollhouse. The bottom part is a cube with a volume of 1/8 cubic foot. What is the length of each edge of the cube in feet

Answer 1

The equation for the volume of a cube is $V = s^{3}$, where V = volume and s = length of each side of the cube.

You are told that the volume, V = $\frac{1}{8}\: ft^{3}$. Plug that value into the volume equation and solve for s, the length of each side:
$V = s^{3}\\ \frac{1}{8} = s^{3}\\ s = \sqrt[3]{\frac{1}{8}} \\ s = \frac{1}{2}$

The length of each edge of the cube is $\frac{1}{2} \:ft$.