Chapter 11.2 Surface Areas of Prisms and Cylinders.

Slides:

Advertisements

Similar presentations

Surface Area of Prisms and Cylinders Section 12.2

Advertisements

Chapter 12 – Surface Area and Volume of Solids

Surface Area of Prisms & Cylinders Geometry Mr. Westlove Summer 2009.

SURFACE AREA Prisms and Cylinders Section 6-2. Prism A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are.

11.2 Surface Areas of Prisms and Cylinders

12.2 Surface Area of Prisms and Cylinders

Surface Areas of Prisms & Cylinders

L.E.Q. How do you find the surface areas of prisms and cylinders?

OBJECTIVES: 1) TO FIND THE SURFACE AREA OF A PRISM. 2) TO FIND THE SURFACE AREA OF A CYLINDER. PDN: PG. 528 # Surface Area of Prisms and Cylinders.

Chapter 12. Section 12-1  Also called solids  Enclose part of space.

PRISMS AND CYLINDERS: VOLUMES, SURFACE AREAS, AND WEIGHTS

6.2 – Surface Areas of Prisms and Cylinders

Section 12-1 Prisms. Prism a 3-dimensional figure with two congruent, parallel faces The congruent, parallel faces are called the bases. The bases lie.

Prisms and Cylinders. A prism is a polyhedron with exactly 2 congruent parallel faces. The bases are the two congruent parallel faces. Lateral faces are.

12-2 Surface Area of Prisms You found areas of polygons. Find lateral areas and surface areas of prisms. Find lateral areas and surface areas of cylinders.

Surface Area and Volume

Ch 11-4 Surface Area of A Prism C. N. Colón St. Barnabas HS Geometry.

Section 12.2 Surface Areas of Prisms and Cylinders.

11.3 Surface Area of Prisms & Cylinders Geometry.

Chapter 12 Notes: Surface Area and Volume of Prisms Goal: Students will find the surface area and volume of prisms.

The Geometry of Solids Section 10.1.

Chapter 11.3 Surface Areas of Pyramids and Cones.

Chapter 11: Surface Area & Volume

CHAPTER 12 AREAS AND VOLUMES OF SOLIDS 12-1 PRISMS.

11-2 Surface Area of Prisms and Cylinders Objective: To find the surface area of a prism and a cylinder.

11.2 and 11.4: Prisms and Cylinders

10.3 Surface Areas of Prisms and Cylinders (cont.)

Surface Area The sum of the area of all the faces of a polyhedron.

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

May 1, 2013  Students will analyze and determine the surface areas of prisms and cylinders.  Why? So you can find the surface area of a drum, as in.

Areas and Volumes of Prisms

Goal 1: To find the surface area of a prism Goal 2: To find the surface area of a cylinder.

Warm-Up 1) Draw a polygon that is not convex. 2) Find the measure of an exterior angle of a regular decagon. 3) Find the circumference and area of a circle.

12.2 – Surface Area of Prisms And Cylinders. Polyhedron with two parallel, congruent bases Named after its base Prism:

12.2 Surface Area of Prisms & Cylinders Geometry Mrs. Spitz Spring 2006.

Surface Areas 8.7 Surface Area.

12.3 Surface Areas of Prisms. Objectives: Find lateral areas of prisms Find surface areas of prisms.

Chapter 11: Surface Area and Volume Section 11-2: Surface Areas of Prisms and Cylinders.

Gaby Pavia and Gaby Pages. Section 12-1 Bases: congruent polygons lying in parallel planes Altitude: segment joining the two base planes and perpendicular.

11.2 Surface Area of Prisms & Cylinders Prism Z A polyhedron with two congruent faces (bases) that lie in parallel planes. The lateral faces are parallelograms.

11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.

10.3 – Surface Areas of Prisms and Cylinders. Warm Up.

11.2 Surface Area of Prisms and Cylinders. Prism - a polyhedron with exactly 2 congruent, parallel faces, called bases. (base shape names the prism) Lateral.

Surface Areas & Volume of Cylinders Tutorial 9a Lateral and Surface Area §A cylinder has two congruent parallel bases. §The bases of a cylinder are circles.

12.2 – Surface Area of Prisms And Cylinders. Polyhedron with two parallel, congruent bases Named after its base Prism:

Surface area & Volume of Pyramids Tutorial 13d Pyramids §A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces.

Group 6 Period 5 Problems Mac Smith, Jacob Sweeny Jack McBride.

Learn and apply the formula for the surface area and volume of a prism. Learn and apply the formula for the surface area and volume of a cylinder. Objectives.

Prisms Unit 12 Section 1 Identify the parts of prisms Find the lateral areas, total areas, and volumes of right prisms.

How to find the surface area of a prism and cylinder. Chapter 11.2GeometryStandard/Goal 2.2.

Section 12.2 Surface Area of Prisms and Cylinders June 11, 2016.

Chapter Surface Area of Prisms and Cylinders Find the surface area of a prism Find the surface area of a cylinder.

Section 12-3 Cylinders. cylinder It is like a prism except that its bases are circles instead of polygons. Bases.

12.2 Surface Area of Prisms & Cylinders Geometry.

LESSON Today: 12.1 Questions 12.2 Discovery 12.2 Lesson Warm- Up: Discovery Activity.

Section Section 12.2: Prisms All prisms have two congruent and parallel faces, called bases, for which it is named. All other faces of a.

HONORS GEOMETRY Surface Area of Prisms. Prism Polyhedron with two parallel congruent bases.

 A Prism is a polyhedron with two congruent, parallel bases.  The other faces are lateral faces.  A prism is named for the shape of its bases.

Warm Up Find the surface area of the right prisms.

10-3 Surface Area of Prisms and Cylinders

12.2 Surface Area of Prism and Cylinders

Surface Areas of Prisms and Cylinders

12.2 Surface Area of Prisms & Cylinders

11.2 Surface area of prisms and cylinders

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

Surface Area of Prisms and Cylinders

Surface Area of Prisms and Cylinders

12.2 Surface Area of Prisms & Cylinders

12.2 Surface Area of Prisms & Cylinders

Presentation transcript:

Chapter 11.2 Surface Areas of Prisms and Cylinders

Vocabulary Prism = a polyhedron with exactly two congruent, parallel faces, called bases. Other faces are lateral faces. You name a prism by the shape of its bases

Examples: Right prisms Oblique Prisms

Vocabulary Altitude = perpendicular segment that joins the planes of the bases Height = the length of altitude

Vocabulary Lateral area = the sum of the areas of the lateral faces Surface area = sum of the lateral area and the area of the two bases

Theorem 11.1 lateral and Surface Areas of a Prism The lateral area of a right prism is the product of the perimeter of the base and the height P = perimeter of base H= height

Theorem 11.1 lateral and Surface Areas of a Prism The surface area of a right prism is the sum of the lateral area and the areas of the two bases B= area of base

Example #1 Find the lateral area and total surface area of the prism

Theorem 11.2 lateral and Surface Areas of a Cylinder The lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder

Theorem 11.2 lateral and Surface Areas of a Cylinder The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases

Example #1 Find the lateral surface area of a cylinder with a base radius of 3 inches and a height of 9 inches. L. S. A. = 2π(3)(9) = 54π inches 2

Example #2 Find the total surface area of a cylinder with a base radius of 5 inches and a height of 7 inches T. S. A. = 2π(5)(7) + 2π(5) 2 = 70π + 50π = 120π inches 2

Important You need to know the concept of lateral face and surface area. For the right prisms, you know that the lateral surface is a rectangle, you know the area of the rectangle and you can then multiply by however many there are.

Classwork/Homework Pgs #1-16, 34