SOLUTION: A box 1m by 2m by 5m is filled with cubes of volume 1cm^3. If these small cubes were stacked one on top of the other, how many kilometers high would the stack be?

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Question 1197938: A box 1m by 2m by 5m is filled with cubes of volume 1cm^3. If these small cubes were stacked one on top of the other, how many kilometers high would the stack be?
Found 3 solutions by josgarithmetic, ikleyn, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
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1cm is 0.01 m
1 km is 1000 m

1m%2A2m%2A5m%2A100%2A100%2A100%2A%28cm%2Fm%29%5E3
10%2A1000000cm%5E3
10000000%2Acm%5E3-------also same as this number of cubes.
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Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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The volume of the box is 1*2*5 = 10 m^3 = 10%2A%28100%5E3%29 cm^3 = 10%5E7 cm^3.


So, there are 10%5E7 small cubes 1x1x1 cm.


The height of this column will be  


    10%5E7 cm = 10%5E7%2A10%5E%28-2%29 m = 10%5E5 m = 10%5E5%2A10%5E%28-3%29 km = 10%5E2 kilometers = 100 kilometers.   ANSWER

Solved, with step-by-step explanations.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

volume of the box is
V=1m+%2A+2m+%2A5m++
V=10m%5E3
filled with cubes of volume 1cm%5E3, so convert 10m%5E3 to cm%5E3
10m%5E3+=10000000cm%5E3
so, you have 10000000+small cubes stacked one on top of the other which length is 10000000cm
convert to+km
110000000cm=100+km+