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# finding height of pyramid

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Well, I know that a larger pyramid, an iceberg has:

Volume: 2469421500000 m^3

Base: 297700m x 165900m

height: 150m

Now 8/9 of the volume of this pyramid is underwater.

What is the height of the smaller pyramid, that is underwater

Aug 22, 2017

#1
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*Read the question for 3 times and finally understood what it means*'

We know that the $$\frac{1}{9}$$ part of the pyramid is above water,  since the pyramid is three-dimensional, the volume of it is equal to the third power of its sides.

Now since we know that $$\frac{8}{9}$$ of the volume is underwater, therefore the volume of the smaller pyramid which is above the water would be 8 times of the remaining pyramid which is underwater

The height of the smaller pyramid $$=x$$, with the height of the remaining pyramid $$=150-x$$

$$x^3:(150-x)^3=1:8$$

Therefore $$150-x$$ would be $$\sqrt[3]{8}=2$$ times larger than $$x$$:

$$150-x=2x$$

$$3x=150$$

$$x=50 (meters)$$

Done :D

(Time spent $$\approx$$ 2 hours)

Aug 22, 2017
#2
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Wow. You worked 2 hours straight to solve that? I don't have that much patience.

*claps in respect*

I failed to even understand the question properly...   -_-

Gh0sty15  Aug 22, 2017