The lateral area of a right prism is L=P h, where P is a perimeter of the base and h is the height of the prism. The surface area of the prism is S=L+2B, where B is the area of the base.
A cereal container can be modeled by the following right rectangular prism with a length of l= 18.6 cm, a width of w= 7 cm, and a height of h= 29 cm.
We are asked to find the lateral and the surface area of the container and round the answers to the nearest tenth if necessary. The lateral area of a right prism is L=P h, where P is the perimeter of the base. This tells us that P=2* 18.6+2* 7=51.2 centimeters. Now, let's find L!
The lateral area is L=1484.8 square centimeters. The surface area of the prism is S=L+2B, where B is the area of the base. Since the base is a rectangle that is 18.6 cm by 7 cm, its area is B= 18.6* 7=130.2 square centimeters. Finally, let's find the surface area of the container.
