Question

diane and gina have cube - shaped bins to store their items on shelves. the volume of each storage cube is 475 cubic inches. the length of each side of the cube must be between 7 and 8 inches. diane thinks the length of the side of the cube is closer to 7 inches and gina thinks the length of the side of the cube is closer to 8 inches. who is correct?

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = s^{3}$, where $s$ is the side - length of the cube.

Step2: Find side - length by taking cube - root of volume

We know $V = 475$ cubic inches. So, $s=\sqrt[3]{475}$.
Using a calculator, $\sqrt[3]{475}\approx7.8$.

Answer:

Gina is correct.