SOLUTION: A godown of size 9m * 6m * 4m can hold 1000 equal cube-sized boxes. What is the measure of each side of one box ?

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Question 800176: A godown of size
9m * 6m * 4m can hold 1000 equal cube-sized boxes. What is the measure of each side of one box ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
THE FIFTH GRADER SOLUTION:
The total storage volume available is
%289m%29%286m%29%284m%29=216m%5E3
If that space is totally used to store 1000} boxes each box would have a volume of 216m%5E3%2F1000=0.216m%5E3
If a cube-shaped box has a volume of 0.216m%5E3, the length of the side of such a box is
sqrt%280.216m%5E2%29=highlight%280.6m%29

FANCY_SOUNDING:
If you want to sound fancier and look like it's really complicated algebra,
x= length of the side of one cube-shaped box, in meters.
x%5E3= volume of one cube-shaped box, in cubic meters.
100x%5E3= volume (in cubic meters) of 1000 cube shaped boxes with side length x meters.
Our equation is
1000x%5E3=9%2A6%2A4
1000x%5E3=216
x%5E3=216%2F1000
x=sqrt%28216%2F1000%29
x=sqrt%28216%29%2Fsqrt%281000%29
x=6%2F10 or x=0.6