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

Algebra ->  Volume -> 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       Log On


   



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) About Me  (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