There are 4 separate large boxes, and inside each large box there are 3 separate small boxes, and inside each of these small boxes there are 2 separate smaller boxes. How many boxes, counting all sizes, are there altogether?
24
To determine the total number of boxes, we need to count all the boxes in each size category and sum them up.
1. Start with the smallest boxes:
- Each small box contains 2 smaller boxes.
- Since there are 3 small boxes in each large box, there are a total of 3 * 2 = 6 smaller boxes in each large box.
2. Moving to the next size category:
- Each large box contains 3 small boxes.
- Since there are 4 large boxes, there are a total of 4 * 3 = 12 small boxes.
3. Finally, let's count all the boxes together:
- For the smallest size: 4 large boxes * (3 small boxes * 2 smaller boxes) = 4 * (3 * 2) = 4 * 6 = 24 boxes.
- For the medium size: 12 small boxes.
- Adding these together: 24 + 12 = 36 boxes.
Therefore, there are a total of 36 boxes altogether, counting all sizes.
To determine the total number of boxes, we need to multiply the number of boxes at each level. We start from the smallest unit and work our way up.
Inside each small box, there are 2 separate smaller boxes. Since there are 3 separate small boxes inside each large box, the total number of smaller boxes is 2 * 3 = 6.
Inside each large box, there are 3 separate small boxes. As there are 4 separate large boxes, the total number of small boxes is 3 * 4 = 12.
Finally, we count all the boxes from each level. In total, there are 4 (large) + 12 (small) + 6 (smaller) = 22 boxes altogether.