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![Page 1: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/1.jpg)
Prisms and Pyramids
Please view this tutorial and answer the follow-up questions on loose leaf to
turn in to your teacher.
![Page 2: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/2.jpg)
Prisms/Pyramids BasicsPrisms and pyramids are both three dimensional shapes.
Prisms have two congruent and parallel bases, connected with rectangular faces.
Pyramids have one base and come to a point (pinnacle). They are connected with triangular faces.
Prisms and pyramids are both named by the shape of their base(s).
![Page 3: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/3.jpg)
PrismsThe highlighted shape in each prism is the base.
As you can see each prism has two bases.
The bases are connected with rectangular faces.
![Page 4: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/4.jpg)
PrismsTo name a prism, you must determine what shape the base is.
What shape is the base of this prism?
It is a square, so you would call this a square prism.
![Page 5: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/5.jpg)
PrismsWhat are the names of the other two prisms?
This is a hexagonal prism (6-sided base).
This is a pentagonal prism (5-sided base).
![Page 6: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/6.jpg)
How to draw a prism
31) Draw the shape of whatever base your prism is. In this case, we’ll have to draw a triangle.
Let’s draw a triangular prism.
![Page 7: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/7.jpg)
How to draw a prism
32) Draw a second base that is the same size. (It’s easier if you draw it offset from the first base.)
Let’s draw a triangular prism.
![Page 8: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/8.jpg)
How to draw a prism
33) Connect the corresponding vertices (points) of each base with a line.
Let’s draw a triangular prism.
![Page 9: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/9.jpg)
How to draw a prism
34) Dot the edges that you would not see from your viewpoint.
Let’s draw a triangular prism.
![Page 10: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/10.jpg)
Pyramids
Different from prisms, pyramids have only one base.
Instead of having a second base, they come to a point (called a pinnacle).
![Page 11: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/11.jpg)
Pyramids
Each base connects to the pinnacle by triangular faces.
![Page 12: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/12.jpg)
Pyramids
Pyramids are also named by the shape of their base. Try to name the four pyramids.
![Page 13: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/13.jpg)
Pyramids
Square Pyramid
Hexagonal Pyramid
HeptagonalPyramid(7 sides)
DecagonalPyramid
(10 sides)
![Page 14: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/14.jpg)
How to draw a pyramid
31) You draw the shape of whatever base your prism is. In this case we’ll have to draw an octagon (8 sides).
Let’s draw an octagonal pyramid.
![Page 15: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/15.jpg)
How to draw a pyramid
32) Draw a point for the pinnacle above the base.
Let’s draw an octagonal pyramid.
![Page 16: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/16.jpg)
How to draw a pyramid
33) Connect each vertex of the base to the pinnacle with a line.
Let’s draw an octagonal pyramid.
![Page 17: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/17.jpg)
How to draw a pyramid
34) Dot the edges that you would not see due to your viewpoint.
Let’s draw an octagonal pyramid.
![Page 18: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/18.jpg)
Cylinders and ConesA circular prism is called a cylinder.
A circular pyramid is called a cone.
![Page 19: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/19.jpg)
Planes of SymmetryA plane of symmetry is a two-dimensional flat surface that will divide a three-dimensional shape into mirror images (symmetrical pieces).
The plane to the right cuts the cylinder into two smaller symmetrical cylinders.
![Page 20: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/20.jpg)
Planes of Symmetry
How many planes of symmetry does this prism have?
There are three planes of
symmetry.
![Page 21: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/21.jpg)
Faces, Edges, and Vertices
• Faces: the plane shapes that make up a prism (including the bases)
• Edges: the line segments that connect to form plane shapes
• Vertices: the points where two or more line segments connect in a space shape
• Click the following link to get some practice with faces, edges, and vertices.
![Page 22: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/22.jpg)
Follow-Up Questions
Answer the following questions on loose leafand hand them in to your teacher.
![Page 23: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/23.jpg)
Follow-Up QuestionsName the following space shapes.
1 2 3 4 5
6 7 8 9
![Page 24: Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.](https://reader030.fdocuments.us/reader030/viewer/2022032701/56649c745503460f949276ba/html5/thumbnails/24.jpg)
Follow-Up Questions10) Draw a pentagonal pyramid.
10) Draw a hexagonal prism.
11)How many planes of symmetry does this cube have?
10)How many faces, edges and vertices does this cube have?