CHAPTER 9 Geometry in Space. 9.1 Prisms & Cylinders.

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Presentation transcript:

CHAPTER 9 Geometry in Space

9.1 Prisms & Cylinders

Definitions Polyhedron = 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

Practice Draw 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 Formula Volume = (length)(height)(width) V = lwh

Practice

9.3 Volume of a Triangular Prism

Volume Formula V=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 = πr 2 h

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 + 2πr 2 lateral surface area base area

Practice