We are given that the volume of a cube is 125 cubic inches. The formula for the volume of a cube is the following:

Where:

Substituting the value of the volume we get:

Now we solve for the length "l" by taking cubic root to both sides:
![\sqrt[3]{125in^3}=\sqrt[3]{l^3}](https://img.qammunity.org/2023/formulas/mathematics/college/v6uz8f9x6u11sam5euwhx81kjivafqf32w.png)
Solving the operations:

Therefore, the length of the cube is 5 inches.