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

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

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

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

Volume = (Area of Base)(Height)

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

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

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

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

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

5. Type of solid: _________________________ Volume

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

#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

#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