Question

The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.


Match the equation for how to solve for the side length of a cube to its description.


Drag the equation to the box to match the description.

A cube has a volume of 729 in³. = ???

Answer 1

Since, the volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Given, a cube has a volume of 729 in³.

$729=s^3$

$s=729^{\frac{1}{3}}$

$s=(9 \times 9 \times 9)^{\frac{1}{3}}$

$s=(9^3)^{\frac{1}{3}}$

s = 9

Therefore, the edge of a cube is 9 inches.