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The difference between prisms & pyramids. “It’s all about how you slice it!”
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Pyramids and prisms are specific kinds of polyhedra. The word polyhedra is the plural form of polyhedron.
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A polygon is a 2-dimensional shape.
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A polyhedron is a 3-dimensional shape.
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Presto! A triangular prism!
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Presto! A triangular pyramid!
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Presto! A square prism!
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Presto! A square pyramid!
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A prism is made of congruent shapes.
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A pyramid is made of similar shapes that get smaller and smaller.
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If you know the names of common polygons, then naming a prism or pyramid will be easy for you.
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Look at the polygon on the bottom of the shape.
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This polygon is a rectangle.
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This shape is a rectangular prism.
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This shape is a rectangular pyramid.
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This is a pentagon.
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This is a pentagonal prism.
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This is a pentagonal pyramid.
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This is an octagon.
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This is an octagonal prism.
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This is an octagonal pyramid.
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If you know the common polygons and if you know the difference between a prism and a pyramid, naming these shapes is easy.
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The only unique name that you have to remember is the “cube.”
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A cube is a specific kind of rectangular prism.
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A rectangular prism that has 6 congruent faces is called a cube.
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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.
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Surface Area of a Sphere Surface area = 4 π (radius) 2 S = 4 π r 2 C Radius
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Find the Surface Area of a Sphere Find the surface area of the sphere. Round your answer to the nearest whole number. a. The radius is 8 in. 8 in.
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Find the Surface Area of a Sphere Find the surface area of the sphere. Round your answer to the nearest whole number. b. The radius is 5 cm. 10 cm.
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Volume of a Sphere Volume = radius C
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Find the Volume of a Sphere Find the volume of the sphere. Round your answer to the nearest whole number. a. 2 ft.
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Find the Volume of a Sphere Find the volume of the hemisphere. Round your answer to the nearest whole number. b. A hemisphere has half the volume of a sphere. a 5 in.
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Find the Volume of a Sphere Find the volume of the sphere. Round your answer to the nearest whole number. a. 6 in.
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Assignment Worksheet 24 and 26 in packet
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