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The Organize Your Life Company produces plastic storage boxes. The construction of each box
begins with a rectangular sheet of plastic that measures 28 cm by 44 cm. A square is cut from
each corner of the sheet of plastic, and the sheet of plastic is then bent up on all four sides to
form a rectangular prism without a top. The company creates storage boxes with different
dimensions by varying the size of the square cut from each corner of the original sheet of
plastic.
A retailer would like to purchase a variety of storage boxes, each with a volume of 2500 cubic
centimeters. Your task is to determine the dimensions of all possible storage boxes that
Organize Your Life can create for the retailer.