Chapter 12 Lateral and Surface Areas

12.2 Lateral and Surface Areas of Prisms h L = Ph SA = L + 2B P = Perimeter of the base (bottom) h *base (shape not a rectangle) *the height always connects the bases B = base area SA = 2lw + 2lh + 2wh

12.2 Lateral and Surface Areas of Prisms Find the lateral and surface areas of the rectangular prism.

12.2 Lateral and Surface Areas of Prisms Find the surface area of the triangular prism.

12.2 Lateral and Surface Areas of Prisms Find the lateral area of the regular hexagonal prism.

12.2 Lateral and Surface Areas of Prisms Find the surface area of the prism.

12.2 Lateral and Surface Areas of Prisms Find the lateral area of the prism.

12.2 Lateral and Surface Areas of Prisms The lateral area of a prism is 476 square meters. The area of one of its bases is 25 square meters. What is the surface area of the prism?

12.3 Lateral and Surface Area of Cylinders r h L = 2πrh S = 2πrh + 2πr 2

12.3 Lateral and Surface Area of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

12.3 Lateral and Surface Area of Cylinders Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

12.3 Lateral and Surface Area of Cylinders Find the diameter of a base of a cylinder if the surface area is 480  square inches and the height is 8 inches.

12.4 Lateral and Surface Areas of Pyramids h h l ½ b l Lateral edge ½ b L = P l S = P l + B l = slant height l

12.4 Lateral and Surface Areas of Pyramids Find the lateral area and surface area of the square pyramid.

12.4 Lateral and Surface Areas of Pyramids Find the surface area of the square pyramid to the nearest tenth.

12.4 Lateral and Surface Areas of Pyramids Find the lateral and surface areas of the regular pyramid. Round to the nearest tenth.

12.4 Lateral and Surface Areas of Pyramids Find the surface area of the regular pyramid.

12.4 Lateral and Surface Areas of Pyramids Find the surface area of a square pyramid with base length of 10 feet and slant height of 8 feet.

12.5 Lateral and Surface Areas of Cones h r l L = πr l S = πr l + πr 2

12.5 Lateral and Surface Areas of Cones A sugar cone has an altitude of 8 inches and a diameter of inches. Find the lateral area of the sugar cone.

12.5 Lateral and Surface Areas of Cones Find the surface area of the cone. Round to the nearest tenth.

12.5 Lateral and Surface Areas of Cones Find the surface area of the cone.

12.5 Lateral and Surface Areas of Cones Find the lateral area of a cone with a diameter length of 10 centimeters and a slant height of 13 centimeters. Round your answer to the nearest tenth.

12.6 Surface Area of Spheres r * Lateral and Surface areas are the same for a sphere S = 4πr 2

12.6 Surface Area of Spheres Find the surface area of the sphere. Round to the nearest tenth.

12.6 Surface Area of Spheres Find the surface area of the sphere. Round to the nearest tenth.

12.6 Surface Area of Spheres Find the surface area of a sphere if the circumference of the great circle is 10  feet.

12.6 Surface Area of Spheres Find the surface area of a sphere if the area of the great circle is approximately 220 square meters.

12.6 Surface Area of Hemispheres r S = ½ 4πr 2 + πr 2 or S = 3πr 2

12.6 Surface Area of Spheres Find the surface area of the hemisphere.

12.6 Surface Area of Spheres Find the surface area of the hemisphere.

12.6 Surface Area of Spheres A hemisphere has a giant circle with circumference approximately in 2. What is the surface area of the hemisphere?