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Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.

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**Prisms/Pyramids Basics**

Prisms 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).

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**Prisms The highlighted shape in each prism is the base.**

As you can see each prism has two bases. The bases are connected with rectangular faces.

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**Prisms To 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.

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**Prisms What are the names of the other two prisms?**

This is a hexagonal prism (6-sided base). This is a pentagonal prism (5-sided base).

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**Let’s draw a triangular prism.**

How to draw a prism Let’s draw a triangular prism. 31) Draw the shape of whatever base your prism is. In this case, we’ll have to draw a triangle.

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**Let’s draw a triangular prism.**

How to draw a prism Let’s draw a triangular prism. 32) Draw a second base that is the same size. (It’s easier if you draw it offset from the first base.)

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**Let’s draw a triangular prism.**

How to draw a prism Let’s draw a triangular prism. 33) Connect the corresponding vertices (points) of each base with a line.

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**Let’s draw a triangular prism.**

How to draw a prism Let’s draw a triangular prism. 34) Dot the edges that you would not see from your viewpoint.

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**Pyramids Different from prisms, pyramids have only one base.**

Instead of having a second base, they come to a point (called a pinnacle).

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Pyramids Each base connects to the pinnacle by triangular faces.

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Pyramids Pyramids are also named by the shape of their base. Try to name the four pyramids.

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**Pyramids Square Pyramid Hexagonal Pyramid Heptagonal Pyramid (7 sides)**

Decagonal Pyramid (10 sides)

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**Let’s draw an octagonal pyramid.**

How to draw a pyramid Let’s draw an octagonal pyramid. 31) You draw the shape of whatever base your prism is. In this case we’ll have to draw an octagon (8 sides).

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**Let’s draw an octagonal pyramid.**

How to draw a pyramid Let’s draw an octagonal pyramid. 32) Draw a point for the pinnacle above the base.

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**Let’s draw an octagonal pyramid.**

How to draw a pyramid Let’s draw an octagonal pyramid. 33) Connect each vertex of the base to the pinnacle with a line.

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**Let’s draw an octagonal pyramid.**

How to draw a pyramid Let’s draw an octagonal pyramid. 34) Dot the edges that you would not see due to your viewpoint.

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**Cylinders and Cones A circular prism is called a cylinder.**

A circular pyramid is called a cone.

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Planes of Symmetry A 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.

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**Planes of Symmetry How many planes of symmetry does this prism have?**

There are three planes of symmetry.

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**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.

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**Follow-Up Questions Answer the following questions on loose leaf**

and hand them in to your teacher.

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**Name the following space shapes.**

Follow-Up Questions Name the following space shapes. 4 5 2 3 1 6 7 8 9

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**Follow-Up Questions Draw a pentagonal pyramid. Draw a hexagonal prism.**

How many planes of symmetry does this cube have? How many faces, edges and vertices does this cube have?

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