+0

# finding height of pyramid

0
132
2

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

Guest Aug 22, 2017
Sort:

#1
+178
+1

*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)

Jeffes02  Aug 22, 2017
#2
+510
0

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

### 7 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details