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

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
RELATED QUESTIONS
1. if a box is to be 2 feet high, and the width is to be three feet less than its length. (answered by MathTherapy,scott8148)

A rectangular bin with an open top and volume of 38.72 cubic feet is to be built. The... (answered by MathLover1)

I am having a difficult time with a word problem, could you please help me how to solve... (answered by josmiceli)

A box can hold 160 inches cubed. It is four inches high and its width is three feet less... (answered by josmiceli,ikleyn)

1) A circular flower garden has a diameter of 10 feet. One cubic yard of concrete is to (answered by mananth)

a water tank measures 120 feet in diameter and is 50 feet high. How many cubic feet of... (answered by Alan3354)

a water tank measure 120 feet in diameter and is 50 feet high. how many cubic feet of... (answered by Alan3354)

Zach is building a new shed shaped like a square prism. He wants the height of the shed... (answered by Theo)

3. Bricks are delivered to a work site and stacked in rows and columns, forming a... (answered by CubeyThePenguin)