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Estimate linght, width, height of bedroom. If empty the volume is 864 cubic meters. L=W H=1/2L

Mathematics
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Estimate length, width, height of a bedroom.  If bedroom empty volume is 864 cubic meters/Length and width are same/Height is half length and width,  What are dimensions of the bedroom?

Apr 28th, 2015

Volume of the room is L*W*H and it equals 864.   Since we know L=W and H= 1/2 L, we can change the formula to..

L * L * 0.5L = 864

2.5L^3 = 864

Divide by 2.5;  L^3 = 345.6

Cube-root both sides:  L = 7

So the room is 7M (length) by 7M (width) by 3.5M (high)

Apr 27th, 2015

I saw you reposted.  Was there something wrong?

Apr 27th, 2015

This is a 5th grade question. Is there a way to solve it without cubed roots? 

Apr 27th, 2015

I wasn't sure I posted it right the first time!  Ooops!


Apr 27th, 2015

oh.

I guess I was wrong on the original problem anyway.  The way I would do it for a 5th grader is just plug numbers in until we get something that works.

10x10x5 = 500

12x12x6 = 864 (*** This would be the answer ***)

Apr 27th, 2015

That was a big help to plug in numbers.  Thanks!  I would not have thought of that! 

Apr 28th, 2015

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