To find the surface area of a rectangular prism, we first need to find the area of all the individual faces and then add them together.
The net of a rectangular prism consists of 6 faces - 2 rectangles with dimensions 7 inches by 3 inches (top and bottom), 2 rectangles with dimensions 7 inches by 11 inches (front and back), and 2 rectangles with dimensions 3 inches by 11 inches (sides).
The area of each face can be calculated as follows:
Top and bottom faces: 7 inches * 3 inches = 21 square inches each
Front and back faces: 7 inches * 11 inches = 77 square inches each
Side faces: 3 inches * 11 inches = 33 square inches each
Now we can add up all the areas to get the total surface area:
21 + 21 + 77 + 77 + 33 + 33 = 262 square inches
So, the surface area of the rectangular prism is 262 square inches.
Apply the technique of using nets. What is the surface of the rectangular prism whose dimensions measure 7 inches by 3 inches by 11 inches?
1 answer