Final answer:
To find the dimensions of all possible boxes that contain 72 baseballs, we need to find all the possible combinations of length, width, and height that multiply together to equal 72. The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. These factors can be combined in different ways to find the dimensions of the possible boxes.
Step-by-step explanation:
To find the dimensions of all possible boxes that contain 72 baseballs, we need to find all the possible combinations of length, width, and height that multiply together to equal 72. Since the baseballs are likely to be in a rectangular box, we can use factors of 72 to find all possible dimensions.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. These factors can be combined in different ways to find the dimensions of the possible boxes.
For example, one possible box could have dimensions 2 x 2 x 18, which would give a volume of 72. Another possible box could have dimensions 4 x 6 x 2, which would also give a volume of 72. There are many more possible combinations.