Final answer:
To find the volume of Wayne's gym locker, calculate the length and then multiply it by the width and height. The volume is 6630 1/4 cubic inches.
Step-by-step explanation:
First, we need to find the length of the locker. We are told that the length is 8 inches greater than the width, so we can set up an equation: Length = Width + 8. Now we can substitute the given width into the equation to find the length: Length = 16 1/2 + 8 = 24 1/2 inches.
To find the volume of a rectangular prism, we multiply the length, width, and height. So, the volume of the locker is 24 1/2 x 16 1/2 x 16 1/2 = 6630 1/4 cubic inches. This can be simplified to 6630 1/4 = 6630 + (1/4) = 6630 1/4 inches cubed.