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
231 in.2
231 in squared
154 in.2
154 in squared
131 in.2
131 in squared
262 in.2
The surface area of a rectangular prism can be calculated by finding the areas of all the faces and adding them up.
The net of a rectangular prism with dimensions 7 inches by 3 inches by 11 inches would have 2 faces measuring 7 inches by 3 inches, 2 faces measuring 7 inches by 11 inches, and 2 faces measuring 3 inches by 11 inches.
Calculating the areas of each face:
Face 1: 7 in x 3 in = 21 in^2
Face 2: 7 in x 3 in = 21 in^2
Face 3: 7 in x 11 in = 77 in^2
Face 4: 7 in x 11 in = 77 in^2
Face 5: 3 in x 11 in = 33 in^2
Face 6: 3 in x 11 in = 33 in^2
Adding up all the areas:
21 in^2 + 21 in^2 + 77 in^2 + 77 in^2 + 33 in^2 + 33 in^2 = 262 in^2
Therefore, the surface area of the rectangular prism is 262 in^2.