Presentation on theme: "Prisms and Pyramids Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher."— Presentation transcript:
1Prisms and PyramidsPlease view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.
2Prisms/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).
3Prisms 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.
4Prisms 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.
5Prisms 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).
6Let’s draw a triangular prism. How to draw a prismLet’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.
7Let’s draw a triangular prism. How to draw a prismLet’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.)
8Let’s draw a triangular prism. How to draw a prismLet’s draw a triangular prism.33) Connect the corresponding vertices (points) of each base with a line.
9Let’s draw a triangular prism. How to draw a prismLet’s draw a triangular prism.34) Dot the edges that you would not see from your viewpoint.
10Pyramids Different from prisms, pyramids have only one base. Instead of having a second base, they come to a point (called a pinnacle).
11PyramidsEach base connects to the pinnacle by triangular faces.
12PyramidsPyramids are also named by the shape of their base. Try to name the four pyramids.
14Let’s draw an octagonal pyramid. How to draw a pyramidLet’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).
15Let’s draw an octagonal pyramid. How to draw a pyramidLet’s draw an octagonal pyramid.32) Draw a point for the pinnacle above the base.
16Let’s draw an octagonal pyramid. How to draw a pyramidLet’s draw an octagonal pyramid.33) Connect each vertex of the base to the pinnacle with a line.
17Let’s draw an octagonal pyramid. How to draw a pyramidLet’s draw an octagonal pyramid.34) Dot the edges that you would not see due to your viewpoint.
18Cylinders and Cones A circular prism is called a cylinder. A circular pyramid is called a cone.
19Planes 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.
20Planes of Symmetry How many planes of symmetry does this prism have? There are three planes of symmetry.
21Faces, Edges, and Vertices Faces: the plane shapes that make up a prism (including the bases)Edges: the line segments that connect to form plane shapesVertices: the points where two or more line segments connect in a space shapeClick the following link to get some practice with faces, edges, and vertices.
22Follow-Up Questions Answer the following questions on loose leaf and hand them in to your teacher.
23Name the following space shapes. Follow-Up QuestionsName the following space shapes.452316789
24Follow-Up Questions Draw a pentagonal pyramid. Draw a hexagonal prism. How many planes of symmetry does this cube have?How many faces, edges andvertices does this cube have?