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The surface area of the rectangular prism can be calculated by adding up the areas of all six faces. Looking at the net provided, we can see that there are 2 rectangles with dimensions of 12 cm by 7 cm, 2 rectangles with dimensions of 12 cm by 5 cm, and 2 rectangles with dimensions of 7 cm by 5 cm.
Calculating the area of each rectangle:
- 12 cm x 7 cm = 84 cm^2 (2 of these rectangles)
- 12 cm x 5 cm = 60 cm^2 (2 of these rectangles)
- 7 cm x 5 cm = 35 cm^2 (2 of these rectangles)
Adding up the areas of all six faces:
84 cm^2 + 84 cm^2 + 60 cm^2 + 60 cm^2 + 35 cm^2 + 35 cm^2 = 358 cm^2
Therefore, the surface area of the rectangular prism is 358 cm^2. The closest option provided is 306 cm^2.