Math question I need help with!!!!?

Question

I have a math problem I am have trouble with. Here's the question... any help will be greatly appreciated...

How many dice can fit into a 12 x 12 x 12 cube with the dice measuring 3/4 x 3/4 x 3/4?

I'm like so unbelievably lost it's not even funny... math have always been my thing but I've been out of school over 15+ years and now that I am returning I am lost... can someone please help!

Answer 1

This is a question about volume. The volume of the cube is 12x12x12, or 1728. The volume of each die is (3/4)^3 or 27/64. To determine how many dice fit, you do 1728 divided by (27/64), which is the same as (1728x64)/27, which comes out to 4096.

Answer 2

Each side of the cube is 12 and each side of the die is 3/4 so the # of dice you can fit along each side is 12 divided by 3/4

12 / (3/4) = 12 (4/3) = 16

Total # of dice is 16 * 16 * 16 = 4096