Asked by valina M. Luera

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?
Answered by Steve
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.
Answered by Tea
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
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