Warm Up Find the surface area of the following figures. Show work and include units! 1. 2. 3. 4. 3.84 mm 19 ft 1. 88.47 mm 2. 2166 ft 3. 336.76 square inches 4. 282.68 square feet 9 ft 12.25 in 6.57 ft 4.19 in 5.28 ft

Lesson 5-2: Surface Area of Triangular Prisms and Cylinders I can… Vocabulary find the surface area of a triangular prism. find the surface area of a cylinder. Cylinder

Surface Area (REVIEW) The total area of the surface of a three dimensional object *We will use nets to help us determine the surface area

Net (REVIEW) A two-dimensional figure that can be folded on its segments or curved on its boundaries to form a three-dimensional figure.

Right Prism (REVIEW) A prism that has two bases, one directly above the other, and has its lateral faces as rectangles.

Triangular Prism A prism whose bases are triangles.

Video Over Surface Area of a Triangular Prism http://www.youtube.com/watch?v=yHtdtsOWnDI

Surface Area of a Triangular Prism First, let’s draw a net of a triangular prism. 7 cm Triangle 1 = (½*b*h) Triangle 2 = (½*b*h) = (½*8*10) = (½*8*10) = (½*80) = (½*80) = 40 sq. cm = 40 sq. cm

Surface Area of a Triangular Prism 7 cm Rectangle 1= (l * w) Rectangle 3 = ( l * w) =(7 * 60) = ( 8 * 60) = 420 sq. cm = 480 sq. cm Rectangle 2= (l * w) =(7 * 60) = 420 sq. cm

Surface Area of a Triangular Prism 7 cm Total Surface Area = Area of Triangles + Area of Rectangles = 40 + 40 + 420 + 420 + 480 = 1400 sq. cm

Examples What is the surface area of the triangular prism? Triangle 1 SA= 12 sq. meters Triangle 2 SA= 12 sq. meters Rectangle 1 SA= 63 sq. meters Rectangle 2 SA= 56 sq. meters Rectangle 3 SA= 21 sq. meters Total = 164 sq. meters

Cylinder A three dimensional shape with two identical flat ends that are circular or elliptical connected by a curved surface.

Surface Area of a Cylinder The net of a cylinder:

Video Over Surface Area of a Cylinder http://www.youtube.com/watch?v=GpHhvuRbB-8

Surface Area of A Cylinder Ex

Example