How many cubes with an edge of three second cm do you need to take to completely fill a box

How many cubes with an edge of three second cm do you need to take to completely fill a box 6 cm wide, 9 cm long, 12 cm high?

In order to determine how many cubes with given parameters can fit in a box, it is necessary to determine how many cubes will fit along the length of each of the dimensions of the box.

Fit in length:

9: 3/2 = 9 * 2/3 = 18/3 = 6 (cubes).

Fit in width:

6: 3/2 = 6 * 2/3 = 12/3 = 4 (cubes).

In turn, the box will fit in height:

12: 3/2 = 12 * 2/3 = 24/3 = 8 (cubes).

Therefore, everything will fit in the box:

6 * 4 * 8 = 192 (cubes).

Answer: 192 cubes will fit in the box.