SOLUTION: It has to be 2 feet high, and the width is to be 3 feet less than its length. If it needs to hold a volume of 80 cubic feet, find the length and width of the box
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Question 583348: It has to be 2 feet high, and the width is to be 3 feet less than its length. If it needs to hold a volume of 80 cubic feet, find the length and width of the box Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! length =x
width = x-3
height = 2
Volume = L*W*H
x(x-3)*2= 80
2x^2-6x=80
2x^2-6x-80=0
/2
x^2-3x-40=0
x^2-8x+5x-40=0
x(x-8)+5(x-8)=0
(x-8)(x+5)=0
x= 8 which is positive
L= 8 feet
W = 3 less = 5 feet
