Question

The volume of a cube is 125 cubic centimeters. How many centimeters long is each edge of the cube?

Answer 1

Each edge of the cube is 5 cm

Step-by-step explanation:

The volume of a cube can be calculated using the formula;

`V=l^3`

Where;

V = volume of the cube

l = length of each side (since all the sides are equal)

Making length l the subject of formula by cube rooting both sides of the formula;

`\begin{gathered} \sqrt[3]{V}=\sqrt[3]{l^3} \\ \sqrt[3]{V}=l \\ l=\sqrt[3]{V} \end{gathered}`

Next, let's substitute the value of volume given;

V = 125 cubic centimeters

`\begin{gathered} l=\sqrt[3]{V} \\ l=\sqrt[3]{125} \\ l=5\text{ cm} \end{gathered}`

Each edge of the cube is 5 cm