SOLUTION: a cubical container that measures 3 inches on each side is tightly packed with 27 marbles and is filled with water. all 27 marbles are in contact with the walls of the container a

Algebra ->  Volume -> SOLUTION: a cubical container that measures 3 inches on each side is tightly packed with 27 marbles and is filled with water. all 27 marbles are in contact with the walls of the container a      Log On


   



Question 758255: a cubical container that measures 3 inches on each side is tightly packed with 27 marbles and is filled with water. all 27 marbles are in contact with the walls of the container and the adjacent marbles. all oft he marbles are of the same size. if the container is to be filled with water, how much water in the container?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Visualizing and intuition show that the 27 marbles have 1 inch diameter. The amount of water present in the cube will be volume of the cube minus volume of the twenty seven 1-inch-diameter marbles.

The cube: 3%5E3=37 in%5E3
The marbles: 27%2A%284%2F3%29pi%2A%281%2F2%29%5E3 in%5E3