We are given that the volume of a cube is 125 cubic inches. The formula for the volume of a cube is the following:
[tex]V=l^3[/tex]Where:
[tex]l=\text{ length}[/tex]Substituting the value of the volume we get:
[tex]125in^3=l^3[/tex]Now we solve for the length "l" by taking cubic root to both sides:
[tex]\sqrt[3]{125in^3}=\sqrt[3]{l^3}[/tex]Solving the operations:
[tex]5in=l[/tex]Therefore, the length of the cube is 5 inches.
