Math Puzzle Word Problem

Question

A company is packaging a puzzle and is curious to know what the ideal measurements will be to use for

their packaging so they can save money on the materials. They need the volume of their container to be

4500 cm3. If they package the puzzle in a container that is a square based prism, what will the optimal

dimensions for this shape be?

Answer 1

volume = 4500 cm^3

cube root of 4500 = about 16.51 cm for each side of a cube

a cube prisom minimizes surface area