Suppose you are allowed to use a maximum of 1350 cm2 of cardboard to build a square-based box. What are the dimensions of the largest box you can build?

Answer 1

1350 = surface area

1350/6 = 225 = area of 1 of 6 sides of a cube with 1350 surface area

225 = 15^2, 15 is the edge of the cube

15 cm by 15 cm by 15 cm are the dimensions of the largest volume box possible