SOLUTION: i need help on my math homework. Here is the problem: The surface area of a rectangulare solid is given by the formula S= 2lw+2lh+2wh, where l=length, w=width, and h=height

Algebra ->  Equations -> SOLUTION: i need help on my math homework. Here is the problem: The surface area of a rectangulare solid is given by the formula S= 2lw+2lh+2wh, where l=length, w=width, and h=height      Log On


   



Question 53864This question is from textbook
: i need help on my math homework.
Here is the problem:
The surface area of a rectangulare solid is given by the formula
S= 2lw+2lh+2wh, where l=length, w=width, and h=height.
A. Solve the formula for h.
B. The surface area of a rectangular solid with length 6 centimeters and width 3 centimeters is 72 square centimeters. Find the height.
Thanks.
softballcutie
This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
S = 2lw + 2lh + 2wh
S - 2lw = 2lh + 2wh
S - 2lw = h(2l + 2w)
(S - 2lw)/(2l + 2w) = h
(72 - 2(6)(3))/(2(6) + 2(3)) = h
(72 - 36)/(12 + 6) = h
(36)/(18) = h
2 = h
The height is two centimeters.