Question 273502
A cube with edge 10ft is submerged in a rectangular tank containing water.
 If the tank is 40 ff by 50 ft, how much does the level of water in the tank rise? 
:
Assume the original water level in the tank is 10 feet
Vol = 40 * 50 * 10
Vol = 20,000 cu/ft
You drop in the cube which is 1000 cu/ft
Vol of water now = 21,000
:
Let h = height of the water now
40 * 50 * h = 21000
2000h = 21000
h = 21000/2000
h = 10.5 ft is height of the water now
therefore
10.5 - 10 = .5 ft rise when you add 1000 cu/ft
;
:
Prove that: find the water volume of 40 * 50 * .5 = 1000 cu/ft