SOLUTION: The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is 106ft^3. Find the height of the box.

Question 242910: The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is 106ft^3. Find the height of the box.
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
w=4h
L=7+h
(h*w*L=106)
h*4h*(7+h)=106
4h^2(7+h) = 106
28h^2+4h^3 -106=0

We can see from the graph that the height is approximately 1.75 feet.
RELATED QUESTIONS
The height of a rectangular box is 4 times its width, and its length is 6in more than its (answered by greenestamps)

The height of a rectangular box is 4 times its length, and its width is 5ft more than... (answered by josgarithmetic)

The height of a rectangular box is 2 times its width, and its length is 3in more... (answered by Alan3354)

The width of a rectangular box is four times its height, and its height is 2 feet more... (answered by macston)

The width of a rectangular box is 3 times its height and its length is 2 more than its... (answered by ewatrrr)

The length of a rectangular box is 4 times its height, and its width is 2 ft more than... (answered by ankor@dixie-net.com)

The width of a rectangular box is 4 times its height, and its length is 3 ft more than... (answered by stanbon)

The width of a rectangular box is 4 times its height, and its length is 3ft more... (answered by ikleyn)

A Standard rectangular shipping box has a length which is 3.5 inches more than its... (answered by greenestamps)