Find the lateral surface area of the rectangular prism represented by the given net.
the bottom 12 cm
the sides 3 cm and 7 cm
1. 114
2. 120
3. 43.2
4. 210
5. 1600
100% correct
I apologize for the mistake in my previous response. Thank you for providing the correct answer. The lateral surface area of the rectangular prism represented by the given net is indeed 114 square centimeters.
To find the lateral surface area of the rectangular prism, we need to find the area of each of the four sides and then add them together.
The bottom of the prism is a rectangle with dimensions 12 cm by 7 cm. The area of the bottom is 12 cm * 7 cm = 84 cm^2.
The two sides with dimensions 12 cm by 3 cm have an area of 12 cm * 3 cm = 36 cm^2 each. Since there are two of them, the total area of these two sides is 2 * 36 cm^2 = 72 cm^2.
The other two sides with dimensions 7 cm by 3 cm also have an area of 7 cm * 3 cm = 21 cm^2 each. So the total area of these two sides is 2 * 21 cm^2 = 42 cm^2.
Adding up the areas of all four sides, we get a total lateral surface area of 84 cm^2 + 72 cm^2 + 42 cm^2 = 198 cm^2.
Therefore, the lateral surface area of the rectangular prism represented by the given net is 198 square centimeters.