Jillian draws a net for a rectangular prism. One face of the prism has an area of 6 in.^2. A second face has an area of 12 in. ^2, and a third face has an area of 9 in. ^2. What is the total surface area of Jillian's prism?

1 answer

To find the total surface area of Jillian's rectangular prism, we need to add up the areas of all the faces.

Since a rectangular prism has 6 faces, we can consider that there are 2 of each of the faces with the areas given: 6 in.^2, 12 in. ^2, and 9 in. ^2.

So, the total surface area of Jillian's prism is:

2(6 in.^2) + 2(12 in.^2) + 2(9 in.^2)
= 12 in.^2 + 24 in.^2 + 18 in.^2
= 54 in.^2

Therefore, the total surface area of Jillian's prism is 54 square inches.