SOLUTION: I do not see how you can possibly get a numeral from this question. The answer id 12 but I have no clue how to get it. "The volume of a rectangular solid varies jointly with it

Algebra ->  Proportions  -> Lessons -> SOLUTION: I do not see how you can possibly get a numeral from this question. The answer id 12 but I have no clue how to get it. "The volume of a rectangular solid varies jointly with it      Log On


   



Question 355812: I do not see how you can possibly get a numeral from this question. The answer id 12 but I have no clue how to get it.
"The volume of a rectangular solid varies jointly with its length, width and height. If the length is doubled, the width is tripled and the height is doubled, by what factor is the volume multiplied?"
Thanks for any help you can provide

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Volume of solid is equally varies by length, width and height.

actually the volume is directly proportional to the each of dimension i.e
length, width and height.


it means, if any dimension is changed by x times then its volume will be also changed by x times.
for example
if length is increased by 2 times, volume will be also increased by 2 times.

if width is decreased by 1/2 times, volume will also decreased by 1/2 times.


according to question,
the length is doubled, the width is tripled and the height is doubled,
so volume will be 2 * 3 *2 times of original volume
hence, we got the value : 12
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