Find the lateral surface area of the rectangle prism represented by the given net.
7 cm three CM 12 CM
Cm
To find the lateral surface area of the rectangular prism, we need to find the area of each rectangle and then add them together.
The net provided consists of 3 rectangles:
1. Two rectangles with dimensions 7cm by 12cm (front and back faces of the prism)
2. One rectangle with dimensions 3cm by 12cm (side face of the prism)
The area of the front and back faces is:
2 * (7cm * 12cm) = 2 * 84cm^2 = 168cm^2
The area of the side face is:
3cm * 12cm = 36cm^2
Therefore, the lateral surface area of the rectangular prism is:
168cm^2 (front and back faces) + 36cm^2 (side face) = 204cm^2
So, the lateral surface area of the rectangular prism is 204 square centimeters.