how many 12 x 12 x 6 boxes can fit into a 22 x 22 x 22 box

To find out how many 12 x 12 x 6 boxes can fit into a 22 x 22 x 22 box, we need to calculate the volume of each box and then divide the volume of the larger box by the volume of the smaller boxes.

The volume of a box can be determined by multiplying its length, width, and height.

The volume of the small box is 12 x 12 x 6 = 864 cubic units.

The volume of the large box is 22 x 22 x 22 = 10,648 cubic units.

To calculate how many small boxes can fit inside the large box, we divide the volume of the large box by the volume of the small box:

10,648 / 864 ≈ 12.32

Therefore, approximately 12.32 of the 12 x 12 x 6 boxes can fit into the 22 x 22 x 22 box. Since we cannot have a fraction of a box, we can conclude that only 12 of the small boxes can fit into the larger box.