SOLUTION: A box with no top is to be constructed from a piece of cardboard whose length measures 7in more than its width. The height is 3 inches. If the volume of the box will be 294in cub

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A box with no top is to be constructed from a piece of cardboard whose length measures 7in more than its width. The height is 3 inches. If the volume of the box will be 294in cub      Log On


   

Question 951803: A box with no top is to be constructed from a piece of cardboard whose length measures 7in more than its width. The height is 3 inches.
If the volume of the box will be 294in cubed. What are the dimensions of the piece of cardboard.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
length = w + 7
width = w
height = 3

3(w)(w + 7) = 294
w(w + 7) = 98
w^2 + 7w = 98
w^2 + 7w - 98 = 0
(w + 14)(w - 7) = 0

Distance has to be positive, so w = 7.

The box is 14 inches long, 7 inches wide, and 3 inches tall.