SOLUTION: a rectangular box contains 200 cubic inches. if a similar box is the same height but double the length and triple the width how many cubic inches does this box contain

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Question 702665: a rectangular box contains 200 cubic inches. if a similar box is the same height but double the length and triple the width how many cubic inches does this box contain
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The question is partly wrong because the dimensions may not be in proportion between the two boxes, so they may be dissimilar.

If one would ignore the dissimilarity, then the first box has dimensions w, L, and h for width, length, and heigth in that order. Volume is whL.

The second box has dimensions 3w, 2L, and h. Volume of this second box is 3wh2L,
or volume of 6whL.

V%5B1%5D=whL=200
V%5B2%5D=6whL
V%5B2%5D=6%2A200 by substitution

Volume of the second box is 1200 cubic inches.