SOLUTION: The dimensions of a rectangular box are proportional to 3, 4, and 5. Find these dimensions knowing that the volume of the box is 480 cm^3. Explain.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The dimensions of a rectangular box are proportional to 3, 4, and 5. Find these dimensions knowing that the volume of the box is 480 cm^3. Explain.      Log On


   

Question 953970: The dimensions of a rectangular box are proportional to 3, 4, and 5.
Find these dimensions knowing that the volume of the box is 480 cm^3.
Explain.
Answer by JoelSchwartz(130) About Me  (Show Source):
You can put this solution on YOUR website!
if h=3 and w=4 and L=5
then
w=4h/3
L=5w/4
The volume formula is Lwh=v
wLh=480
h*4h/3*5(4h/3)/4=480
4h^2/3*(20h/3)/4=480
4h^2/3*(5h/3/4)=480
16h^2/3*5h/3=1920
80h^3/9=1920
h^3=216
h=6
w=4*6/3
w=24/3
w=8
L=40/4
L=10