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. 27 in.2
2. 54 in.2
3. 648 in.2
4. 81 in.2
The total surface area of a rectangular prism is calculated by finding the sum of the areas of all six faces.
Given that the first face has an area of 6 in^2, the second face has an area of 12 in^2, and the third face has an area of 9 in^2, we can assume that the corresponding opposite faces will have the same area.
Therefore, the areas of the faces are:
1. 6 in^2
2. 12 in^2
3. 9 in^2
4. 6 in^2
5. 12 in^2
6. 9 in^2
Adding all the areas together: 6 + 12 + 9 + 6 + 12 + 9 = 54 in^2
Therefore, the total surface area of Jillian's prism is 54 in^2.
Correct answer: 2. 54 in^2