The difference between prisms & pyramids. “It’s all about how you slice it!”

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Presentation transcript:

The difference between prisms & pyramids. “It’s all about how you slice it!”

Pyramids and prisms are specific kinds of polyhedra. The word polyhedra is the plural form of polyhedron.

A polygon is a 2-dimensional shape.

A polyhedron is a 3-dimensional shape.

Presto! A triangular prism!

Presto! A triangular pyramid!

Presto! A square prism!

Presto! A square pyramid!

A prism is made of congruent shapes.

A pyramid is made of similar shapes that get smaller and smaller.

If you know the names of common polygons, then naming a prism or pyramid will be easy for you.

Look at the polygon on the bottom of the shape.

This polygon is a rectangle.

This shape is a rectangular prism.

This shape is a rectangular pyramid.

This is a pentagon.

This is a pentagonal prism.

This is a pentagonal pyramid.

This is an octagon.

This is an octagonal prism.

This is an octagonal pyramid.

If you know the common polygons and if you know the difference between a prism and a pyramid, naming these shapes is easy.

The only unique name that you have to remember is the “cube.”

A cube is a specific kind of rectangular prism.

A rectangular prism that has 6 congruent faces is called a cube.

A sphere is the set of all points in space that are the same distance from a point, the center of the sphere. A hemisphere is created when a sphere is cut in half.

Surface Area of a Sphere Surface area = 4 π (radius) 2 S = 4 π r 2 C Radius

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Volume of a Sphere Volume = radius C

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Assignment Worksheet 24 and 26 in packet