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Tec 551 interactive activity part 2

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Design Step 2

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Tec 551 interactive activity part 2

1. 1. Jaymie Foreman Grand Canyon University TEC- 551 6/13/11 Design Step 2
2. 2. Objective: TSW discover how to find the surface area of prisms Surface Area of Prisms
3. 3. What is surface area? <ul><li>Surface area is literally the area of all of the surfaces of a three dimensional object. </li></ul><ul><ul><li>When you wrap a present, the amount of wrapping paper you use is the surface area of the present. </li></ul></ul><ul><ul><li>When you paint the walls in your house, the area you cover with paint is the surface area of the wall. </li></ul></ul>http://www.karikakultur.com/painting/paint-roller-tips-tricks.htm
4. 4. One way to find surface area… <ul><li>Since surface area is finding the area of each surface, that is what we are going to do! </li></ul><ul><ul><li>Area of surface 1: </li></ul></ul><ul><ul><ul><li>A = 5 x 2 = 10 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 2: </li></ul></ul><ul><ul><ul><li>A = 5 x 2 = 10 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 3: </li></ul></ul><ul><ul><ul><li>A = 4 x 2 = 8 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 4: </li></ul></ul><ul><ul><ul><li>A = 4 x 2 = 8 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 5: </li></ul></ul><ul><ul><ul><li>A = 5 x 4 = 20 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 6: </li></ul></ul><ul><ul><ul><li>A = 5 x 4 = 20 ft 2 </li></ul></ul></ul>4 ft 5 ft 2 ft 2 ft 5 ft 4 ft 2 ft 5 ft 4 ft Now just add all of the areas together to get the TOTAL surface area. Total Surface Area = 76 ft 2
5. 5. Triangular Prism <ul><li>Let’s do the same process but with a triangular prism. </li></ul><ul><ul><li>Area of surface 1: </li></ul></ul><ul><ul><ul><li>A = (3 x 4) ÷ 2 = 6 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 2: </li></ul></ul><ul><ul><ul><li>A = (3 x 4) ÷ 2 = 6 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 3: </li></ul></ul><ul><ul><ul><li>A = 10 x 5 = 50 ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 4: </li></ul></ul><ul><ul><ul><li>A = 10 x 4 = 40ft 2 </li></ul></ul></ul><ul><ul><li>Area of surface 5: </li></ul></ul><ul><ul><ul><li>A = 10 x 3 = 30ft 2 </li></ul></ul></ul>Animated Triangular Prism 3 ft 4 ft 5 ft 10 ft Now just add all of the areas together to get the TOTAL surface area. Total Surface Area = 132 ft 2 3 ft 4 ft 10 ft
6. 6. Problem #1 <ul><li>Find the total surface area of the rectangular prism by finding the area of each surface, and adding them together. </li></ul>6 in 5 in 3 in Total Surface Area = 126 in 2
7. 7. Problem #2 <ul><li>Find the total surface area of the triangular prism by finding the area of each surface, and adding them together. </li></ul>Question/ Answer Figure 6 cm 10 cm 8 cm 5 cm Total Surface Area = 168 cm 2
8. 8. Nets <ul><li>A net is what a three dimensional shape looks like in two dimensions. </li></ul><ul><ul><li>This is the net of a rectangular prism. </li></ul></ul><ul><ul><li>This is the net of a triangular prisms. </li></ul></ul>Nets Explanation
9. 9. Surface Area Formula <ul><li>The shapes off to the sides are your bases. </li></ul><ul><li>Notice that the rest of the rectangles form one large rectangle! </li></ul><ul><li>In order to find the surface area you need to find the area of the 2 bases, and the area of the big rectangle in the middle. </li></ul>Animated Steps Animated Figure