What is the greatest number of cubes with a side of 1.5cm that can fit in the box with dimensions 16cm * 15cm * 12cm?
16 ÷ 1.5 = \(10 \frac{2}{3}\)
15 ÷ 1.5 = 10
12 ÷ 1.5 = 8
Let's say the bottom side is 16 x 15. (it won't matter)
since 10 cubes can fit in 16 and 15, there will be 10 x 10 = 100 cubes.
Then 12 is the height and 8 cubes can fit.
This means 100 x 8 = 800 cubes.
(so it's just 10 x 10 x 8)