11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones

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Presentation transcript:

11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones By Brit Caswell

Objective and EQ Students will visualize, sketch, construct, and use various 3-D geometric figures to solve problems. What are two different ways that 2-D shapes and 3-D solids are related? Describe at least two methods you can use to find the surface area and volume of a solid?

Vocabulary

Altitude – the perpendicular segment that joins the bases Height – the length of an altitude

Lateral area (LA) – the sum of the areas of the lateral faces Surface area (SA) the sum of the lateral area and the area of the two bases

Pg 700 #1 Use this net to find the surface area of the rectangular prism.

Find the Surface Area What is the name of this shape?

Cylinders – have two congruent, parallel bases which are circles

Describe how to find the lateral area and the surface area of a cylinder!

Pg 702 #3 A cylinder has a height of 9 cm and a radius of 10 cm. What is the surface area of the cylinder in terms of pi?

Find the surface area

Find the LA and SA Name this shape!

Why does a pyramid use the slant height when a triangle uses the perpendicular height? Can you describe why using a net?

Find the LA and SA

Cone – A solid that has one base and a vertex that is not in the same plane as the base

Find the LA and SA

Find the LA What is this figure named?