The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
138 cm.2
138 cm.2
306 cm.2
306 cm.2
104 cm.2
104 cm.2
208 cm.2
208 cm.2
The surface area of the rectangular prism can be calculated by finding the area of each of the individual faces and adding them up.
Given that the net of the rectangular prism shows a total of 6 faces:
- The top and bottom faces are rectangles with dimensions 4 cm by 6 cm, so each has an area of 4 cm * 6 cm = 24 cm^2. Since there are two of these faces, the total area for the top and bottom faces is 24 cm^2 * 2 = 48 cm^2.
- The side faces are rectangles with dimensions 4 cm by 3 cm, so each has an area of 4 cm * 3 cm = 12 cm^2. Since there are four of these faces, the total area for the side faces is 12 cm^2 * 4 = 48 cm^2.
- Finally, the front and back faces are rectangles with dimensions 6 cm by 3 cm, so each has an area of 6 cm * 3 cm = 18 cm^2. Since there are two of these faces, the total area for the front and back faces is 18 cm^2 * 2 = 36 cm^2.
Adding up the areas of all 6 faces gives a total surface area of 48 cm^2 + 48 cm^2 + 36 cm^2 = 132 cm^2.
Therefore, the correct option is not provided.