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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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

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