Anna builds a rectangular prism storage container with dimensions of 8 inches by 6 inches by 12 inches. She builds a second container with a greater volume by increasing the dimensions of the rectangular prism to 16 inches by 12 inches by 24 inches.

How will the volume of the second container she builds compare to the volume of the first one?

It will be greater. By a factor of 2*2*2 or eight times as large.

To compare the volumes of the two containers, we need to calculate the volume of each rectangular prism.

The volume of a rectangular prism can be found by multiplying its three dimensions together.

For the first container:
Volume = Length x Width x Height
= 8 inches x 6 inches x 12 inches
= 576 cubic inches

For the second container:
Volume = Length x Width x Height
= 16 inches x 12 inches x 24 inches
= 4,608 cubic inches

So, the volume of the second container is greater than the volume of the first container.

To compare the volumes, we divide the volume of the second container by the volume of the first container.

Volume of second container / Volume of first container = 4,608 cubic inches / 576 cubic inches

Simplifying the division, we get:

8

Therefore, the volume of the second container is 8 times greater than the volume of the first container.