To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them up.
Looking at the net provided:
- The top and bottom faces are both rectangles with dimensions of 7 cm by 2 cm. The area of each of these faces is 7 cm * 2 cm = 14 cm^2. Since there are two of these faces, the total area for both the top and bottom faces is 2 * 14 cm^2 = 28 cm^2.
- The front and back faces are also rectangles with dimensions of 7 cm by 10 cm. The area of each of these faces is 7 cm * 10 cm = 70 cm^2. Since there are two of these faces, the total area for both the front and back faces is 2 * 70 cm^2 = 140 cm^2.
- The left and right faces are both rectangles with dimensions of 2 cm by 10 cm. The area of each of these faces is 2 cm * 10 cm = 20 cm^2. Since there are two of these faces, the total area for both the left and right faces is 2 * 20 cm^2 = 40 cm^2.
Adding up the areas of all six faces, we get:
28 cm^2 + 140 cm^2 + 40 cm^2 = 208 cm^2
Therefore, the surface area of the rectangular prism is 208 cm^2.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism? 7 cm 2 cm 10 cm
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