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# Am I dumb or this question impossible?

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If a block's base shaped rectangle, with length : width = 5 : 4 and the volume of the block is 1800cm^3. What is the height of the block?

Guest Apr 11, 2017
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#1
+84387
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There isn't a single answer to this problem......for instance...

Length  = 10 cm

Width = 8  cm

Height  22.5 cm

Or

Length  = 5

Width = 4

Height = 90

Etc........

CPhill  Apr 11, 2017
edited by CPhill  Apr 11, 2017
#3
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I'm sorry, I forgot to say that the block is a pyramid. :)

Guest Apr 11, 2017
#2
+6616
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You're not dumb!

But this question is possible.

If the length to width is 5 to 4, then:

length = 5x cm

width = 4x cm

Where x is the unknown scale factor.

volume of a pyramid = (1/3) * length * width * height

1800 = (1/3) * 5x * 4x * height

(3)(1800) / (20x2) = height

height = 270/x2 cm

I don't think you can get a more specific answer than that.

*edited to make it for a pyramid*

hectictar  Apr 11, 2017
edited by hectictar  Apr 11, 2017

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