Respuesta :

Answer:

Each edge of the cube is 5 cm

Explanation:

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

[tex]V=l^3[/tex]

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;

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

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

V = 125 cubic centimeters

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

Each edge of the cube is 5 cm