CHAPTER 9

Geometry in Space

9.1

Prisms & Cylinders

DefinitionsPolyhedron = a 3-d figure that has many faces

Prism = has two parallel bases that are the same size and shape

Height of a prism = the perpendicular distance between the two bases

Rectangular & Triangular Prisms

Rectangular Prism

Triangular Prism

Other Polyhedrons

Cylinder and Cone

Cylinder Cone

PracticeDraw the prism or cylinder from its description.1. A rectangular prism with a base of 5 in by 3

in and a height of 5 in.2. A triangular prism with a base of 3, 4, and 5

centimeters and a height of 7 centimeters.3. A cylinder with a base radius of 10

centimeters and a height of 15 centimeters.

9.2

Volume of a Rectangular Prism

Volume FormulaVolume = (length)(height)

(width)

V = lwh

Practice

9.3

Volume of a Triangular Prism

Volume FormulaV=Bh

V= (½bh)h

This is the area of the base or triangle on the bottom

Practice

9.4

Volume of a Cylinder

Volume Formula

V = πr2h

Practice

9.5

Surface Area of a Prism

Surface Area

The sum of all the areas of the

polyhedrons faces.

Practice

9.6

Surface Area of a Cylinder

Surface Area Formula

S = 2πrh + 2πr2

lateral surface area

base area

Practice