Please help me out. :)
A cubical container that measures 2 in on a side is tightly packed with 8 marbles and is filled with water. All 8 marbles are in contact with the walls of the container and the adjacent marbles. All the marbles are the same size. What is the volume of water in the container?

Question

Please help me out. :)
A cubical container that measures 2 in on a side is tightly packed with 8 marbles and is filled with water. All 8 marbles are in contact with the walls of the container and the adjacent marbles. All the marbles are the same size. What is the volume of water in the container?

anonymous · Answer

|dw:1394020685578:dw| Pretend the marbles are all the same size and touching each other as well as the edges of the cube. =) What is the radius of each marble for them to fit in the cube? Using this you can find the volume of the marbles and the cube to solve the problem.