I have a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot.

Question

The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

Answer 1

If the width is w, and the length is x, then

w*x*(3/4) = 48

wx = 64

The only integer factors of 64 greater than 2 are 4,8,16,32

So, the base of the prism must be
4x16

Of course, if integer values are not required, any number greater than 2 will work as the width, as long as the length is 64/w.

Answer 2

What is the volume of the box pictured below?

A rectangular prism of length 3 and 1 over 2 feet, width 3 and 1 over 8 feet, and height 4 over 5 foot is shown.