SOLUTION: A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of       Log On


   

Question 936658: A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a rectangle, the perimeter is,
P=2%28L%2BW%29
2%28L%2BW%29=28
L%2BW=14
The volume of a rectangular solid is,
V=L%2AW%2A5
V=5WL
From the perimeter equation,
L=14-W
Substitute,
V=5W%2814-W%29
V=70W-W%5E2