An Open Box with Square Ends Is to Be Constructed

Short Answer

An open box with square ends is to be constructed with a volume of 125 cubic inches. The bottom is to be made of a material that weighs twice as much per square inch as the material used for the sides. What should the dimensions of the box be in order to minimize its weight? (Note: the actual weights of the materials do not matter.)Enter your answer exactly as a, b, c where these integers represent length, width, and height (no units or × symbols)