SOLUTION: four grapefruit (considered spheres) 4 in. in diameter are placed in a square box whose inside base dimensions are 8 in. in the space between the first 4 grapefruit a fifth of the

Question 610367: four grapefruit (considered spheres) 4 in. in diameter are placed in a square box whose inside base dimensions are 8 in. in the space between the first 4 grapefruit a fifth of the same diameter is placed. how deep must the box be in order that the top will just touch the fifth grapefruit.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the centers of the five grapefruit form a square pyramid

all the edges of the pyramid have a length of 4in

the base of the pyramid is 2in above the base of the box, and the apex is 2in below the top of the box
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