Chapter 11 4 Volumes of Prisms and Cylinders

Chapter 11. 4 Volumes of Prisms and Cylinders

Finding the Volume of a rectangular prism

Vocabulary • Volume = the space that a figure occupies. It is measured in cubic units.

Cavalieri’s Principle • If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume

Volume of a Prism • The volume of a prism is the product of the area of a base and the height of the prism

Example #1 • Find the volume of the rectangular prism

Ex. 2: Finding Volumes • Find the volume of the right prism. A = ½ bh A = ½ (3)(4) A = 6 cm 2 V = Bh V = (6)(2) V = 12 cm 3 Area of a triangle Substitute values Multiply values -- base Volume of a prism formula Substitute values Multiply values & solve

Example #2 • Find the volume of the triangular prism Which Surface is the Base of the prism? What is the Height of the prism?

Volume of a Cylinder • The volume of a cylinder is the product of the area of the base and the height of the cylinder

Ex. 2: Finding Volumes • Find the volume of the right cylinder. A = r 2 A = 82 A = 64 in. 2 V = Bh V = 64 (6) V = 384 in. 3 V = 1206. 37 in. 3 Area of a circle Substitute values Multiply values -- base Volume of a prism formula Substitute values Multiply values & solve Simplify

Example #3 • Find the volume of the cylinder

Classwork • 11. 4 Volumes of Prisms and Cylinders • p. 721: 1 -21, 23 -30, 32 -34, 37, 38, 46