SOLUTION: Please Help solve this thanks for you time S=4LW+2WH ; S=168, L=9, W=4.

Algebra ->  Equations -> SOLUTION: Please Help solve this thanks for you time S=4LW+2WH ; S=168, L=9, W=4.      Log On


   

Question 989496: Please Help solve this thanks for you time
S=4LW+2WH ; S=168, L=9, W=4.
Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
S=4LW%2B2WH
S=168
L=9
W=4
start with S=4LW%2B2WH, substitute given values
168=4%2A9%2A4%2B2%2A4H ....solve for H
168=144%2B8H
168-144=8H
24=8H
24%2F8=H
highlight%28H=3%29

now we can check it:
S=4LW%2B2WH
168=4%2A9%2A4%2B2%2A4%2A3
168=144%2B24
168=168


Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
What do you want to solve for?
.
S=4LW+2WH
S=2W(2L+H)
S/2W=2L+H
(S/2W)-2L=H Substitute values and solve.
.
(168/(2(4)))-2(9)=H
(168/8)-18=H
21-18=H
3=H
.
ANSWER: The height is 3 units.
.
Volume=LWH
Volume=(9)(4)(3)
Volume=108 cu units
.
ANSWER: The volume is 108 cubic units.