SOLUTION: Copying the question from test. The box below has a volume of 72ft3. Use the equation to solve for x. Finally, label the width and the height of the box. equations x-3, x+1,and

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Question 591477: Copying the question from test. The box below has a volume of 72ft3. Use the equation to solve for x. Finally, label the width and the height of the box.
equations x-3, x+1,and 6ft.
Hope this helps on how to solve it. Please I need it send by tonight or tomorrow. I got a test on Tues.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The box below has a volume of 72ft3. Use the equation to solve for x.
Finally, label the width and the height of the box.
equations x-3, x+1, and 6 ft.
:
The equation will be the volume which is L * W * H, in this problem
W = (x-3)
L = (x+1)
H = 6
:
We could write like this
6*(x-3)*(x+1) = 72
divide both sides by 6
(x-3)(x+1) = 72/6
(x-3)(x+1) = 12
FOIL
x^2 + x - 3x - 3 = 12
Arrange as a quadratic equation
x^2 - 2x - 3 - 12 = 0
x^2 - 2x - 15 = 0
Factors to
(x+3)(x-5) = 0
Th positive solution is what we want here
x = 5
then
Width: 5-3 = 2 ft
Length: 5+1 = 6 ft
Height given as 6 t
:
Check the volume 2 * 6 * 6 = 72 cu/ft