Question

the volume of a rectangle prism with square bases is 5880 cubic inches. it has a height of 30 inches. find the side length of the square base.

Answer 1

A prism with square bases is just a square prism.

The volume of a rectangular prism is equal to its width times its length times its height. Since the base is a square, we can just say it's equal to the base squared times the height. Let's set up a formula, plug and chug.


`V = b^2h \\ 5880 = 30b^2 \\ 196 = b^2 \\ √(196) = b \\ \boxed{14 = b}`