Find the lateral surface area of the rectangle prism represented by the given net.
12 cm three CM 7 CM
Cm
The lateral surface area of a rectangular prism can be calculated by finding the sum of the areas of its four lateral faces.
In this case, the rectangle prism has dimensions of 12 cm by 3 cm by 7 cm. The lateral faces are the two faces with dimensions of 12 cm by 7 cm and the two faces with dimensions of 3 cm by 7 cm.
The area of the two faces with dimensions of 12 cm by 7 cm is:
2 * (12 cm * 7 cm) = 2 * 84 cm^2 = 168 cm^2
The area of the two faces with dimensions of 3 cm by 7 cm is:
2 * (3 cm * 7 cm) = 2 * 21 cm^2 = 42 cm^2
Therefore, the lateral surface area of the rectangular prism is:
168 cm^2 + 42 cm^2 = 210 cm^2
So, the lateral surface area of the rectangular prism represented by the given net is 210 cm^2.