a rectangular piece of cardboard that has dimensions 50 cm by 30cm will be formed into the base of a cardboard box. the corners of the piece of cardboard in the shaape of a square will be removed. if the desired volume of the cardboard box is to be 1056cm^3 what will be the dimensions of the cardboard box?
Assuming that, let x be the length, in cm., of a side of the square cut out. The height of the box will be x. Since one side of the cardboard was 50 cm and x cm was cut from each end, the length of the base will be 50- 2x while the width will be 30- 2x. So the volume of the box will be the product of those: x(50-2x)(30-2x)= 1056. Can you solve that equation.