beth used 30 cubes but to build a rectangular prism that was 5 cubes high she decided to take apart the prism and build another one with the same 30 cubes but diffrent dimensions what dimmesons could beth used

I don't mean to be rude but of you are going to ask this type of question, you should at least include an answer key!

To find the possible dimensions that Beth could have used for the rectangular prism, we can start by calculating the volume of the prism using the given information.

We know that the height of the prism is 5 cubes. Let's assume the dimensions of the rectangular base are length (L) and width (W). The volume (V) of a rectangular prism can be calculated using the formula V = length x width x height.

In this case, V = L x W x 5.

Since Beth used a total of 30 cubes, the volume of the prism must be 30. So we have the equation L x W x 5 = 30.

Now, let's list down the factors of 30 to determine the possible values for L and W:

1 x 1 x 30 = 30
1 x 2 x 15 = 30
1 x 3 x 10 = 30
1 x 5 x 6 = 30
2 x 3 x 5 = 30

Now we have five possible combinations of length (L) and width (W):

1) L = 1, W = 30
2) L = 2, W = 15
3) L = 3, W = 10
4) L = 5, W = 6
5) L = 6, W = 5

These dimensions would allow Beth to use the same 30 cubes to build different rectangular prisms.

What are the factors of 30?