SOLUTION: The area of the rectangular piece of cardboard shown on the left is 171 square inches. The cardboard is used to make an open box by cutting a 2 inch square from each corner and tur
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Question 602757: The area of the rectangular piece of cardboard shown on the left is 171 square inches. The cardboard is used to make an open box by cutting a 2 inch square from each corner and turning up the sides. If the box is to have a volume of 150 cubic inches, find the length and width of the cardboard that must be used.
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
assume that the rectangular piece of cardboard has length of L and width of W
L*W = 171
so L = 171/W
if the cardboard is cut 2 inch square each, the dimension of the box will be:
(L - 2*2)*(W - 2*2)*2 (length * width * height)
Volume of the box:
V = length * width * height
(multiply all by W)
(divide all by 4)
W - 9 = 0 or W - 19 = 0
W = 9 or W = 19
L = 171/9 = 19 or L = 171/19 = 9
so, the length and width of the cardboard used are 19 inch and 9 inch
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