The net of a rectangular prism is shown. What is the surface area of the rectangular prism?

(1 point)
Responses

306 cm.2
306 cm.2

138 cm.2
138 cm.2

208 cm.2
208 cm.2

104 cm.2

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

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.

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