Lesson 8.2B Lateral and Surface Area of Pyramids and Cones Standards: M.3.G.2 M.3.G.3.

Slides:

Advertisements

Similar presentations

6.3: Surface Areas of Pyramids and Cones

Advertisements

Lateral Area, Surface Area, and Notes

Miscellaneous Name that shape Volume Surface Area Lateral Area

Surface Area of Pyramids & Cones Section Objectives Find the surface area of pyramids Find the surface area of cones.

Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone.

Surface Area and Volume

Geometry 11-3 Surface Areas of Pyramids and Cones.

Geometry Jeopardy! Ch 1-6 Formulas & Definitions SA of Prisms & Cylinders SA of Cones & Pryamids Volume of Prisms & Cylinders Volume of Cones & Pyramids.

Surface Area: Prisms and Cylinders

10-4 Surface Areas of Pyramids

PrismsPyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism.

Lesson 12-5, 6, 13-2 Cones & Pyramids. Objectives Find lateral areas of regular pyramids Find surface areas of regular pyramids Find the volume of pyramids.

Transparency 8 Click the mouse button or press the Space Bar to display the answers.

Section 12.3 Surface Area of Pyramids and Cones. Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face.

Volume of Pyramids and Cones

10-4 Surface Areas of Pyramids and Cones

Surface Area of Pyramids Pyramid – A polyhedron with all faces except one intersecting a vertex. Pyramids are named for their bases, which can be a polygon.

Surface Area 10-7 Warm Up Problem of the Day Lesson Presentation

Section 12.3 Surface Areas of Pyramids and Cones.

Identify each of the following shapes. In geometry, what is a net? what is surface area? cube Triangular pyramid Right square pyramid Rectangular prism.

Slide Surface Area  Surface Area of Right Prisms  Surface Area of a Cylinder  Surface Area of a Pyramid  Surface Area of a Cone  Surface Area.

Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

Warm Up. Difference between a prism and a pyramid.

Section 12.3 Notes.

Chapter Surface Area of Pyramids and Cones.

Chapter 12 Lateral and Surface Areas Lateral and Surface Areas of Prisms h L = Ph SA = L + 2B P = Perimeter of the base (bottom) h *base (shape.

Click to add text Surface Area of Pyramids, Cones and Spheres Math 8 Measurement Unit.

PRE-ALGEBRA. Surface Area: Pyramids, Cones, and Spheres (10-6) How can you find the surface area of a pyramid using a formula? Surface Area (S.A.) of.

Surface area & volume UNIT 4. Prisms SECTION 1  Prism: three dimensional shape with two parallel sides  Bases: sides parallel to each other  Lateral.

Objective: To find the Volume & Surface Area of cones and cylinders.

Warm Up 1. The side of a pyramid that is opposite the pyramid’s vertex is the _________________. 2. What is the volume of a pyramid with a height of 5.

Lesson 11-5 Pages Surface Area: Pyramids and Cones.

Notes Over Surface Area l b.

11-3 Surface Areas of Pyramids and Cones

Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.

Surface Area of Regular Pyramids

Types of Solid Figures Lesson Vocabulary Polyhedron - solid figure with flat faces that are polygons Lateral faces - faces other than the base in.

Surface Area of Pyramids and Cones

Find the surface area of each rectangular prism. Round to the nearest tenth if necessary Find the surface area of a rectangular prism that has.

The perimeter p of the square base is 4 X 7.5 ft, or 30 ft.

Surface Area & Volume.

Back to menu Final jeopardy question Definitions The Round Let’s Cover Fill It The Whole Up It Up Thing

Surface Area of Pyramids and Cones

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Surface Area of a Cone and Pyramid. A cone has a circular base and a vertex that is not in the same plane as a base. In a right cone, the height meets.

Volume of Pyramids and Cones Section 9.5. Objectives: Find the volumes of pyramids and cones.

10-4 Surface Area of Pyramids and Cones

Surface Area of Pyramids and Cones

Warm Up Find the surface area and the volume

12.3 – Surface Area of Pyramids and Cones

Surface Area of Pyramids

9-1B Surface Area of Pyramids

10-4 Surface Areas of Pyramids

Lateral Area, Surface Area, and Notes

Surface Area of Pyramids, Cones and Spheres

Main Idea and New Vocabulary Key Concept: Surface Area of a Pyramid

10-5 Surface Area of Pyramids & Cones

Lesson 10.5 – 10.6 Surface Area of Prisms, Cylinders, Pyramids, Cones and Spheres Essential Question: How do you find the surface area of prisms, cylinders,

10-4 Surface Areas of Pyramids

Surface Area of Pyramids and Cones

Surface Area of Pyramids, Cones and Spheres

Lateral Area & Surface Area Of Pyramids & Cones

10-4 Surface Areas of Pyramids

Chapter 10 Extension Objective: To find missing dimensions

Surface Area of Pyramids, Cones and Spheres

Lateral Area, Surface Area, and Notes

Surface Area and Volume

Lesson: 12 – 2 Surface Areas of Prisms & Cylinders

Surface Areas of Pyramids and Cones

Lesson 7 Surface Area of Pyramids

Presentation transcript:

Lesson 8.2B Lateral and Surface Area of Pyramids and Cones Standards: M.3.G.2 M.3.G.3

Review Surface Area: The sum of the areas of the faces of a polyhedron Lateral Area: The sum of the areas of the faces of a polyhedron except for the base

Lateral Area - Pyramids Lateral Area = ½ P l P: Perimeter of the base l: slant height

Example Find the lateral area of the right square pyramid. Round your answer to the nearest whole number: 18' 24'

Surface Area - Pyramids Surface Area = LA + B LA: Lateral Area B: Area of the Base

Example Find the surface area of the right square pyramid. Round your answer to the nearest whole number: 10' 12'

Now You Try… Find the lateral area and the surface area of the regular triangular pyramid. Round your answer to the nearest whole number: 13” 10”

Lateral Area - Cones Lateral Area = π r l r: radius of the base l: slant height

Example Find the lateral area of the cone. Round your answer to the nearest whole number. 6" 12"

Surface Area - Cones Surface Area = π r l + π r 2 r: radius of the base l : slant height

Example Find the surface area of the cone. Round your answer to the nearest whole number. 8" 15"

Now You Try… Find the lateral area and the surface area of the cone. Round your answer to the nearest whole number. 11" 31"

Real Life Application Problems Example: The framework for a decorative trellis to support a grapevine is in the shape of a square pyramid. If the height is 6 meters and the width of the base is 2 meters, what amount of netting is needed to protect the grapes from the birds? Round your answer to the nearest whole number.

Example 6 m 2 m

Now You Try… A toy company plans to market a square pyramid-shaped space station component for its line of Galaxy Generation figures. The space station will need to be coated all over the outside with a reflective paint. How many square inches will need to be painted on each item? Round your answer to the nearest whole number.

Now You Try… A toy company plans to market a square pyramid-shaped space station component for its line of Galaxy Generation figures. The space station will need to be coated all over the outside with a reflective paint. How many square inches will need to be painted on each item? Round your answer to the nearest whole number. 8” 16”