A box holds one layer of 45 baseballs. How can the baseballs be arranged?
What are the factors of 45?
9 x 5
5 x 9
You've got it.
To determine how the baseballs can be arranged in the box, we need to consider the dimensions of the box and the shape of the baseballs.
First, let's assume that the box has a rectangular shape. In this case, the baseballs can be arranged in a single layer inside the box.
Now, let's calculate the dimensions of the box based on the information provided. Since there is one layer of baseballs and the box can hold 45 baseballs in total, we can assume that the box has 45 baseballs arranged in a rectangular shape, with the length being one side and the width being the other side.
To find the dimensions, we need to consider factors of 45 and see which combinations can form a rectangle. The factors of 45 are 1, 3, 5, 9, 15, and 45.
Let's check the possible combinations:
1 x 45 - This arrangement would result in a narrow and long box, which may not be practical.
3 x 15 - This arrangement would result in a more square-shaped box, which could be feasible.
5 x 9 - This arrangement would again result in a narrow and long box.
9 x 5 - This is the same as the previous arrangement, but with the dimensions reversed.
15 x 3 - Another square-shaped box, similar to the 3 x 15 arrangement.
45 x 1 - This arrangement would result in a tall and thin box, which may not be ideal.
From the possible combinations, it seems that the most practical arrangements would be either a 3 x 15 or a 15 x 3 arrangement. These dimensions would provide a reasonably square-shaped box that can hold the 45 baseballs in a single layer.