SOLUTION: How do you go about solving this problem?
A box with no top is constructed from a rectangular piece of cardboard whose length measures 4 inches more than its width. The box is f
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A box with no top is constructed from a rectangular piece of cardboard whose length measures 4 inches more than its width. The box is f
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Question 728883: How do you go about solving this problem?
A box with no top is constructed from a rectangular piece of cardboard whose length measures 4 inches more than its width. The box is formed by cutting squares from each corner that measure 2 in. on each side and then folding up the sides. If the volume of the box is 64 cubic in., what are the dimensions of the original piece of cardboard?
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let width of box be x
length of box = x+4
height will be 2 inches since the cut portion is 2 "
width of box = x-4 "
length of box = x+4-4= x
dimensions of new box = x-4, x , 2"
Volume = 2x(x-4)
64=2x^2-8x
2x^2-8x-64=0
/2
x^2-4x-32=0
x^2-8x+4x-32=0
x(x-8)+4(x-8)=0
(x-8)(x+4)=0
x= -4 OR 8
ignore negative
x=width of board 8"
length = 12"
