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Published byGabriella Benson Modified over 6 years ago

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Geometric Solids EQ: What are the most common types of solids, what are cross sections and solids of revolution?

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Cross section: a two-dimensional figure created by the intersection of a plane and a solid – “a slice”

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An orange is a SPHERE. If you cut through the orange the two-dimensional “slice” you get is a CIRCLE

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Solid of Revolution: A 3-D figure “swept out” by rotating a 2-D figure around an axis

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Volume = (Area of Base)(Height)

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1. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: ___________________ Volume

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2. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: ___________________ Volume

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2. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: ___________________ Volume

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3. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: ___________________ Volume

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4. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: ___________________ Volume

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5. Type of solid: _________________________ Volume

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Cross-Section Problems #1) Given a sphere with a radius of 200 cm 3, find the area of the perpendicular cross section right through its center

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#2) Given a cylinder with radius 7 in and height 10 in, find the area of a cross section that is parallel to its base

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#3) Given a cone with a radius of 6 ft and a height of 12 ft, find the area of the triangle formed by a perpendicular cross section down through the cone’s center

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