SOLUTION: A box has volume of 3000 cu. in. Edges are in proportions of 2,3,4. Determine box dimensions. Not sure how to solve.

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Question 1162314: A box has volume of 3000 cu. in. Edges are in proportions of 2,3,4. Determine box dimensions.
Not sure how to solve.

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
These three edges would be better said to be the dimensions.

%282x%29%283x%29%284x%29=3000----------this and what to do should be clear.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Given a ratio of 2:3:4 for the dimensions of the box, one standard way to start on the problem is to let the three dimensions be 2x, 3x, and 4x.

Then, since the volume is length times width times height,

%282x%29%283x%29%284x%29+=+3000
24x%5E3+=+3000
x%5E3+=+3000%2F24+=+125
x+=+5

So the dimensions of the box are
2x=10
3x=15
4x=20

CHECK: 10*15*20 = 3000