Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2)...
Transcript of Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2)...
![Page 1: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/1.jpg)
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Pyramids and Prisms
![Page 2: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/2.jpg)
+Solid
■ An object with 3 Dimensions
■ Height, Width, Length
![Page 3: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/3.jpg)
+3-D Triangular Shapes
■ Pyramid
■ Triangular Prism
![Page 4: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/4.jpg)
+Pyramid• A pyramid is made by connecting a base to an apex• A pyramid is named after the shape of its base
![Page 5: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/5.jpg)
+Pyramid■ Surface Area
SA= Base Area + (1/2) Perimeter x Slant height
Base Area= Area of the shape that is the base
Perimeter= Perimeter of the Base
Slant Height= height of one of the faces
![Page 6: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/6.jpg)
+Surface Area
![Page 7: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/7.jpg)
+Find the Surface Area
![Page 8: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/8.jpg)
+Practice
■ Work on the following hand out!
![Page 9: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/9.jpg)
+Pyramid■ Volume
V= (1/3) (Base Area) (Height)
Base Area= Area of the shape that is the base
Height = Length from the base to apex
![Page 10: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/10.jpg)
+Volume
![Page 11: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/11.jpg)
+Find the Volume
![Page 12: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/12.jpg)
+Practice
■ Work on the following hand out!
![Page 13: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/13.jpg)
+Triangular Prism• A prism composed of two triangular bases and three
rectangular sides
![Page 14: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/14.jpg)
+Triangular Prism■ Surface Area for Triangular Prism
SA= 2( Area of Triangular Base)+ Area of Rectangle + Area of Rectangle +Area of Rectangle
Area of Triangular Base= (1/2)(Base) (Height)
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+Surface Area
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+Find the Surface Area
![Page 17: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/17.jpg)
+Practice
■ Work on the following hand out!
![Page 18: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/18.jpg)
+Triangular Prism■ Volume
V= (Base Area) (Length)
Base Area= Area of the triangular base
Length= Length of the rectangle
![Page 19: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/19.jpg)
+Volume
V= ½ BH x LV= ½ (9) (12)(18)V= 1944/2V= 972 cm3
![Page 20: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/20.jpg)
+Find the Volume
![Page 21: Pyramids and Prisms - msstasiak.weebly.com€¦ · Pyramid Surface Area SA= Base Area + (1/2) Perimeter x Slant height Base Area= Area of the shape that is the base Perimeter= Perimeter](https://reader034.fdocuments.us/reader034/viewer/2022051811/6020b9a7469d0105f23a7d2b/html5/thumbnails/21.jpg)
+Practice
■ Work on the following hand out!