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 cm3, 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