SOLUTION: a rectangular tank 25 cm long & 20 cm wide contains water at the depth of 5 cm. a metal cube of side 8 cm is placed in the tank so that one face of the cube rests on the bottom of

Algebra ->  Volume -> SOLUTION: a rectangular tank 25 cm long & 20 cm wide contains water at the depth of 5 cm. a metal cube of side 8 cm is placed in the tank so that one face of the cube rests on the bottom of       Log On


   

Question 814891: a rectangular tank 25 cm long & 20 cm wide contains water at the depth of 5 cm. a metal cube of side 8 cm is placed in the tank so that one face of the cube rests on the bottom of the tank. find how many liter of water must be poured into the tank so as to just cover the cube?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
---Removed because of conceptual mistake---
Trying Again:

Final volume of original water, the 8 cm cube, and the added water together must be 25%2A20%2A8 cm%5E3.

Volume quantities present before adding the final water are:
25%2A20%2A5%2B8%5E3 cm%5E3

Their difference is the amount of water, in cubic centimeters, to add.
25%2A20%2A8-25%2A20%2A5-8%5E3
25%2A20%288-5%29-8%5E3
25%2A20%2A3-8%5E3
500%2A3-512
1500-512
988 cubic centimeter, or about 0.99 liters.

Either I am still making a mistake in concept, or this answer & result, same as what I had just removed, is correct.