Question

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Answer 1

Answer:

$\boxed {\tt 6 \ centimeters}$

Step-by-step explanation:

The volume of a cube can be found using the following formula:

$v=s^3$

where $s$ is the side length, or edge.

We know the volume is 216 cubic inches. We can substitute 216 cm³ in for $v$, the volume.

$216 \ cm^3 = s^3$

We want to find the side length. Therefore, we must isolate the variable, $s$.

s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.

$\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}$

$\sqrt[3]{216 \ cm^3} =s$

$6 \ cm=s$

The length of each edge of the cube is 6 centimeters.

Answer 2

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in