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 =
`(1)/(8)\: ft^(3)`. Plug that value into the volume equation and solve for s, the length of each side:

`V = s^(3)\\ (1)/(8) = s^(3)\\ s = \sqrt[3]{(1)/(8)} \\ s = (1)/(2)`

The length of each edge of the cube is
`(1)/(2) \:ft`.