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?

Responses:
A- 81 in^2
B- 27 in^2
C- 648 in^2
D- 54 in^2

1 answer

The total surface area of a rectangular prism can be found by adding the areas of all six faces. Since each face is paired with another face that shares the same area, we only need to add the areas of three unique faces: 6 in^2, 12 in^2, and 9 in^2.

Total surface area = 2(6 in^2) + 2(12 in^2) + 2(9 in^2)
Total surface area = 12 in^2 + 24 in^2 + 18 in^2
Total surface area = 54 in^2

Therefore, the correct answer is:
D- 54 in^2