Presentation on theme: "10.9 Surface Area 6.4.5 – I can find the surface areas of prisms, pyramids, and cylinders."— Presentation transcript:
10.9 Surface Area 6.4.5 – I can find the surface areas of prisms, pyramids, and cylinders
Warm Up Identify the figure described. 1. two parallel congruent faces, with the other faces being parallelograms 2. a polyhedron that has a vertex and a face at opposite ends, with the other faces being triangles prism pyramid
The surface area of a three- dimensional figure is the sum of the areas of its surfaces. To help you see all the surfaces of a three-dimensional figure, you can use a net. A net is the pattern made when the surface of a three-dimensional figure is laid out flat showing each face of the figure.
S = area of square + 4 (area of triangular face) The surface area is 161 ft 2.
S = area of square + 4 (area of triangular face) The surface area is 125 ft 2. 5 ft 10 ft 5 ft
The surface area of a cylinder equals the sum of the area of its bases and the area of its curved surface. To find the area of the curved surface of a cylinder, multiply its height by the circumference of the base. Helpful Hint
Surface Area of a Cylinder A cylinder has a total of three surfaces: a top, bottom, and middle. The top and bottom, which are circles, are easy to visualize. The area of a circle is πr 2
Find the surface area S of the cylinder. Use 3.14 for , and round to the nearest hundredth. S = area of curved surface + 2 (area of each base) The surface area is about 276.32 ft 2. Video
Find the surface area of each figure. Use 3.14 for . 1. rectangular prism with base length 6 ft, width 5 ft, and height 7 ft 2. cylinder with radius 3 ft and height 7 ft 3. Find the surface area of the figure shown. 214 ft 2 188.4 ft 2 208 ft 2
2. Find the surface area of a cylinder with radius 5 ft and height 8 ft. Use 3.14 for A. 576.8 ft 2 B. 408.2 ft 2 C. 376.2 ft 2 D. 251.2 ft 2
3. Find the surface area of the figure shown. A. 162 ft 2 B. 152 ft 2 C. 142 ft 2 D. 132 ft 2