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?%C2%A0(1 point) Responses 131 in^2 231 in^2 262 in^2 154 in^2
To find the surface area of the rectangular prism, we first need to find the areas of each face that make up the prism.
Using a net, we can see that a rectangular prism has 6 faces - 2 rectangular faces of dimensions 7 inches by 3 inches, 2 rectangular faces of dimensions 7 inches by 11 inches, and 2 rectangular faces of dimensions 3 inches by 11 inches.
Calculating the area of each face:
1. 7 inches by 3 inches face: 7 * 3 = 21 square inches
2. 7 inches by 11 inches face: 7 * 11 = 77 square inches
3. 3 inches by 11 inches face: 3 * 11 = 33 square inches
Finding the total surface area:
2 * 21 + 2 * 77 + 2 * 33 = 42 + 154 + 66 = 262 square inches
Therefore, the surface area of the rectangular prism is 262 in^2.