A marble is 12mm in diameter what is the smallest height of a box that is 96mm square that can hold 200 marbles and still have the lid fit on without interference?

Answer 1

If the marbles are packed in a square grid, the box will hold 8x8=64 marbles in each layer.

So, since it will take 4 layers to hold all 200 marbles, the box must be 48mm high.

If you want to get into most efficient packing, that is a complex subject, but you can research it to find that more than 64 marbles can fit in each layer, and the layers can pack more tightly than 12mm apart.

Answer 2

Well, Steve sorry to steal your thunder, but it would actually be 4.8 cm if it was 48mm high. Because you would have t convert itinto centimeters because the answer for the question requires that it be in centimeters. Your welcome Valina, I had kinda got lost for a moment too.

-Tea