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
262 in.2
262 in squared
131 in.2
131 in squared
154 in.2
Step 1: Create the net of the rectangular prism by unfolding it into a 2D shape.
The net of the rectangular prism will have 3 rectangles: one measuring 7 by 11 inches (front and back faces), one measuring 3 by 11 inches (top and bottom faces), and one measuring 3 by 7 inches (side faces).
Step 2: Calculate the surface area of each rectangle.
Surface area of the front and back faces = 2(7 inches x 11 inches) = 2(77) = 154 square inches
Surface area of the top and bottom faces = 2(3 inches x 11 inches) = 2(33) = 66 square inches
Surface area of the side faces = 2(3 inches x 7 inches) = 2(21) = 42 square inches
Step 3: Add the surface areas of all faces together.
Total surface area = 154 + 66 + 42 = 262 square inches
Therefore, the surface area of the rectangular prism is 262 square inches.
So, the correct answer is: 262 in.2