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
*Read the question for 3 times and finally understood what it means*'
We know that the 19 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 89 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
x3:(150−x)3=1:8
Therefore 150−x would be 3√8=2 times larger than x:
150−x=2x
3x=150
x=50(meters)
Done :D
(Time spent ≈ 2 hours)