SOLUTION: I'm having trouble with setting up the equation of this word problem: A rectangle piece of cardboard is 5 cm longer than it is wide. A 3 cm square is cut out of each corner. The

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Question 1187292: I'm having trouble with setting up the equation of this word problem:
A rectangle piece of cardboard is 5 cm longer than it is wide. A 3 cm square is cut out of each corner. Then the four flaps are folded up to form a box without a lid. The volume of this box is 450 cubic cm. Find the length and width of the original piece of cardboard.
Thanks for the help!

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

the length of rectangle piece of cardboard is } longer than it is wide,

after cutting (which will be the height of the box) square out of each corner,
->

the height
Then the four flaps are folded up to form a box without a lid.
The volume of this box is .





......using quadratic formula we get

-> we need positive value for the width
then


the length and width of the original piece of cardboard are and respectively
proof:





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