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Volume of Box Containing Spheres

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240 spheres, each of radius 2, are placed in a box in 5 layers. There are 6 rows with 8 spheres in each row at each layer. The outside spheres are each tangent to the box and the spheres are tangent to those spheres next to them. Find the volume of the box which is between the spheres.

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Solution Preview

If there are 5 layers and 240 spheres, there would be 240/5 = 48 spheres in each layer. There

are 6 rows with 8 spheres in each row at each layer. If the radius= 2 , the diameter of each

sphere would be ...

Solution Summary

The volume of a box containing spheres is found.

$2.19