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)
To find the surface area of the rectangular prism, we first need to find the area of each face of the prism and then add them together.
The net of a rectangular prism consists of six rectangles - the top, bottom, front, back, left side, and right side.
The dimensions of the rectangular prism are:
Length = 11 inches
Width = 7 inches
Height = 3 inches
Now, let's calculate the area of each face and then add them together.
1. Area of the top and bottom faces:
Length × Width = 11 inches × 7 inches = 77 square inches (each)
Total top and bottom area = 2 × 77 = 154 square inches
2. Area of the front and back faces:
Length × Height = 11 inches × 3 inches = 33 square inches (each)
Total front and back area = 2 × 33 = 66 square inches
3. Area of the left and right side faces:
Width × Height = 7 inches × 3 inches = 21 square inches (each)
Total left and right side area = 2 × 21 = 42 square inches
Now, add together the areas of all the faces:
154 (top and bottom) + 66 (front and back) + 42 (left and right side) = 262 square inches
Therefore, the surface area of the rectangular prism is 262 square inches.