SOLUTION: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box?
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-> SOLUTION: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box?
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Question 1178387: spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box? Answer by greenestamps(13200) (Show Source):
Imagine each ball packed in its own cube 1.5 cm on a side. Then the array of those cubes in the box that is 6 cm by 3 cm by 3 cm is 4 by 2 by 2. So there are 16 balls in the box.
You can picture solving the problem by finding the free space in each of those cubes containing a sphere and multiplying that by 16.
ANSWER: 16 times the difference between the volume of a cube with edge 1.5 cm and the volume of a sphere with diameter 1.5 cm.
