SOLUTION: a solid cube of sides 50 cm is kept in an empty reservoir of length 3 metres, breadth 2 metres and height 1 metres. the cube is taken out after filling the reservoir by water. what

Algebra ->  Volume -> SOLUTION: a solid cube of sides 50 cm is kept in an empty reservoir of length 3 metres, breadth 2 metres and height 1 metres. the cube is taken out after filling the reservoir by water. what      Log On


   



Question 828928: a solid cube of sides 50 cm is kept in an empty reservoir of length 3 metres, breadth 2 metres and height 1 metres. the cube is taken out after filling the reservoir by water. what is the depth of water now
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the cube is V%5Bc%5D=50%2A50%2A50 or Vc=125000 cc.
The volume of the reservoir is V%5Br%5D=300%2A200%2A100 or Vr=6000000 cc.
Once the
If the reservoir (with the cube in it) is filled to the top then the volume of water is,
V%5Br%5D=V%5Bc%5D%2BV%5Bw%5D
6000000=125000%2BV%5Bw%5D
V%5Bw%5D=5875000
The length and breadth of the water in the reservoir don't change.
v%5Bw%5D=L%5Bw%5D%2AB%5Bw%5D%2AH%5Bw%5D
300%2A200%2AH%5Bw%5D=5875000
H%5Bw%5D=5.875%2F6
H%5Bw%5D=.979
H%5Bw%5D=97.9 cm