Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms,...
-
Upload
brian-bryan -
Category
Documents
-
view
217 -
download
0
Transcript of Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms,...
![Page 1: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/1.jpg)
Lesson G: Surface Area of a Prism, Pyramid and Cylinder
OBJECTIVES: Find surface area of prisms, pyramids and cylinders
![Page 2: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/2.jpg)
Prism Pyramid Cylinder
![Page 3: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/3.jpg)
Surface Area
the ___________ of the areas of all of the faces or surfaces that enclose the solid
sum
![Page 4: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/4.jpg)
Faces
the top and bottom (bases) and the remaining surfaces (lateral faces or surfaces)
![Page 5: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/5.jpg)
Finding the Surface Area of Prisms & Pyramids: Step 1: Draw a diagram of each face of the solid as
if the solid were cut apart at the edges and laid flat. Label the dimensions.
Step 2: Calculate the area of each face. If some faces are identical, you need only calculate the area of one and multiply by the number of identical faces.
Step 3: Find the total area of all the faces (bases and lateral faces).
![Page 6: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/6.jpg)
Prism Example1. Find the surface area of the prism. Each face is a
rectangle.
SA= _______________ + _______________ + _______________
SA= _______________ + _______________ + _______________ SA= _______________ + _______________ + _______________
SA = ____________________
2 2 2
๐ โ๐ โ๐ ๐ โ๐ โ๐ ๐ โ๐ โ๐๐๐ ๐๐ ๐๐
cm2
๐๐
๐๐
๐๐
![Page 7: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/7.jpg)
Pyramid Example2. Find the surface area of the square based pyramid on the right.
๐๐
๐๐
๐๐๐
SA= _______________ + _______________
SA= _______________ + _______________ SA= _______________ + _______________
SA = ____________________
๐๐ 4
4 โ๐๐โ๐๐ โ๐
๐๐๐ ๐๐๐ cm2
๐๐๐
How many triangles are
there?4
![Page 8: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/8.jpg)
Finding Surface Area of Cylinders:
The total surface area of a cylinder is the sum of the lateral surface area and the areas of the bases. The lateral surface is the curved surface on a cylinder. You can think of the lateral surface as a wrapper. You can slice the wrapper and lay it flat to get a rectangular region.
![Page 9: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/9.jpg)
Cylinderโs Lateral Surface
The height of the rectangle is the height of the cylinder.
The base of the rectangle is the circumference of the circular base of the cylinder.
The lateral surface area is the area of the rectangular region.
HH
๐ ๐Area of a
Rectangle:A=bh ๐ด= h๐
๐ฟ๐ด=ยฟ๐ ๐ H
![Page 10: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/10.jpg)
Surface Area of a Cylinder
SA = 2rยฒ + dH
SA = 2Area of Circle + Area of Rectangle
r๐ ๐ ๐ฏ
๐ฏ
r
Area of Circle:
Area of Rectangle:
![Page 11: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/11.jpg)
EXAMPLES CONTINUEDโฆ
3. Find the surface area of the cylinder in terms of AND to the nearest square inch (using 3.14 for ).
SA= _______________ + _______________
SA= _______________ + _______________ SA= _______________ + _______________
SA = ____________________
How many circles are
there?
2 ๐๐ โ๐๐๐ ๐
๐๐
๐ โ๐ ๐๐ ๐ ๐ ๐ฏ12
๐๐๐ ๐๐๐๐ in2
๐๐ ๐๐๐๐๐ (๐ .๐๐ )
in2
![Page 12: Lesson G: Surface Area of a Prism, Pyramid and Cylinder OBJECTIVES: Find surface area of prisms, pyramids and cylinders.](https://reader036.fdocuments.in/reader036/viewer/2022082611/56649ee55503460f94bf570c/html5/thumbnails/12.jpg)
Assignment
Worksheet G