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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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How to draw a prism 3 1) 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.

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How to draw a prism 3 2) 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.

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How to draw a prism 3 3) Connect the corresponding vertices (points) of each base with a line. Let’s draw a triangular prism.

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How to draw a prism 3 4) Dot the edges that you would not see from your viewpoint. Let’s draw a triangular prism.

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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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How to draw a pyramid 3 1) 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.

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How to draw a pyramid 3 2) Draw a point for the pinnacle above the base. Let’s draw an octagonal pyramid.

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How to draw a pyramid 3 3) Connect each vertex of the base to the pinnacle with a line. Let’s draw an octagonal pyramid.

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How to draw a pyramid 3 4) Dot the edges that you would not see due to your viewpoint. Let’s draw an octagonal pyramid.

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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.link

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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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Follow-Up Questions Name the following space shapes

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Follow-Up Questions 10) 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?

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