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

#1**+2 **

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

#2**+3 **

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) / (20x^{2}) = height

**height = 270/x ^{2}**

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

*edited to make it for a pyramid*

hectictar
Apr 11, 2017