The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(A) 104 cm.2
(B) 208 cm.2
(C) 138 cm.2
(D) 306 cm.2
(D) 306 cm.2
To find the surface area of the rectangular prism, we need to calculate the area of each of the individual rectangular faces and then add them together.
Looking at the net of the rectangular prism, we can see that there are 2 rectangle faces with dimensions 12 cm by 7 cm, 2 rectangle faces with dimensions 9 cm by 7 cm, and 2 rectangle faces with dimensions 12 cm by 9 cm.
Calculating the areas of each face:
- 2 faces with dimensions 12 cm by 7 cm: 12 cm * 7 cm = 84 cm.2 each, so a total of 168 cm.2
- 2 faces with dimensions 9 cm by 7 cm: 9 cm * 7 cm = 63 cm.2 each, so a total of 126 cm.2
- 2 faces with dimensions 12 cm by 9 cm: 12 cm * 9 cm = 108 cm.2 each, so a total of 216 cm.2
Adding these areas together, we get 168 cm.2 + 126 cm.2 + 216 cm.2 = 510 cm.2
Therefore, the correct answer is not listed among the choices provided.