Apply the technique of using nets. What is the surface area of the rectangular prism whose dimensions measure 7 inches by 3 inches by 11 inches? (1 point)

Responses

154 in.2

262 in.2

131 in.2

231 in.2

1 answer

To find the surface area of a rectangular prism, we need to find the area of each face and then add them up.

Using nets, we would have the following faces:

- Two faces with dimensions 7 inches by 3 inches: 7 in * 3 in = 21 in^2 * 2 = 42 in^2
- Two faces with dimensions 7 inches by 11 inches: 7 in * 11 in = 77 in^2 * 2 = 154 in^2
- Two faces with dimensions 3 inches by 11 inches: 3 * 11 in = 33 in^2 * 2 = 66 in^2

Adding up all the areas, we get:
42 in^2 + 154 in^2 + 66 in^2 = 262 in^2

Therefore, the surface area of the rectangular prism is 262 in^2.

So, the correct answer is 262 in.2.