SOLUTION: suppose the length of the original bin is tripled and the width is halved. by what factor would the height of the bin have to change so that the volume of th bin is doubled?
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Question 957017: suppose the length of the original bin is tripled and the width is halved. by what factor would the height of the bin have to change so that the volume of th bin is doubled? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! suppose the length of the original bin is tripled and the width is halved.
by what factor would the height of the bin have to change so that the volume of the bin is doubled?
:
let L = the original length
let W = the original width
let h = the original height
let H = the new height
then
L*W*h = the original volume
:
3L*.5W*H = 2(L*W*h)
1.5LWH = 2LWh
Divide both sides by LW
1.5H = 2h
H = h
H = 1h
The new height is 1 times the old height
