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.

Slides:

Advertisements

Similar presentations

Chapter 12 – Surface Area and Volume of Solids

Advertisements

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

11.2 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.

Honors Geometry Sections 6.3 & 7.2 Surface Area and Volume of Prisms

Three-Dimensional Figure A three-dimensional figure is a shape whose points do not all lie in the same plane.

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.

INTRODUCTION: A polyhedron is a geometric figure made up of a finite number of polygons that are joined by pairs along their sides and that enclose a.

Geometric Solids: The Prism. 2 Review of Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional.

Surface Area and Volume

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

Chapter 12 Notes.

Prisms Fun with by D. Fisher

Prisms Prism – Every prism has two congruent faces which are polygonal regions and lie in parallel planes. These polygonal regions are called bases.

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.

Chapter 10: Surface Area and Volume

Chapter 11: Surface Area & Volume

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

10.3 Surface Areas of Prisms and Cylinders (cont.)

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

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

Polyhedrons: Prisms Tutorial 5b. 3D Solids §A polyhedron is a 3- dimensional figure whose surfaces are polygons. faces edge vertex §The polygons are the.

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

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.

Surface Areas 8.7 Surface Area.

Warm Up Classify each polygon. 1. a polygon with three congruent sides 2. a polygon with six congruent sides and six congruent angles 3. a polygon with.

Lesson 60 Geometric Solids Prisms & Cylinders. Geometric Solids right triangular prism right circular cylinder regular square pyramid right circular cone.

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.

Chapter 11.2 Surface Areas of Prisms and Cylinders.

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

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.

Warm Up Classify each polygon. 1. a polygon with three congruent sides 2. a polygon with six congruent sides and six congruent angles 3. a polygon with.

Geometry 12.1 Prisms. Today you will learn how to find three measurements about prisms. You will find: Prisms Lateral area: L.A. Total area: T.A. Volume:

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

Chapter 12 Group 6 P Crowley C Prince C King K Connell.

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

Surface area and Volume Ch Sol: G.10,12,13,14.

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.

Chapter 12 Areas and Volumes of Solids (page 474) Essential Question How can you calculate the area and volume of any solid?

12.2 Surface Area of Prisms & Cylinders Geometry.

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.

Lesson 12-2 Pyramids (page 482) Essential Question How is the surface area and volume of pyramids different from prisms?

 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.

1. PRISMS The two shaded faces of the prism shown are its bases.

10-3 Surface Area of Prisms and Cylinders

Section 12-2 Pyramids.

9-1A Surface Area of Prisms

12.2 Surface Area of Prism and Cylinders

12.2 Surface Area of Prisms & Cylinders

11.2 Surface area of prisms and cylinders

10-2 & 10-3: Representations of 3-D Figures and Surface Area of Prisms

11.4 Vocabulary Polyhedron Prism, Pyramid, Cylinder, Cone, Sphere

Three-Dimensional Figures and Spatial Reasoning

3-D Shapes Topic 14: Lesson 3

12.2 Surface Area of Prisms & Cylinders

11.4 Vocabulary Polyhedron Prism, Pyramid, Cylinder, Cone, Sphere

A prism is a polyhedron with two parallel faces called bases.

9.1 Prisms, Area, & Volume 8/7/2019 Section 9.1 Nack/Jones.

Presentation transcript:

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 in parallel planes.

Base

Altitude of a prism a segment joining the two base planes; it is perpendicular to both planes The length of the altitude is the height of the prism!

altitude

the faces that are not its bases In the shape of parallelograms Lateral faces of a prism

the parallel segments where adjacent lateral faces intersect Lateral Edges

Types of prisms 1.Right Prism: –h–have rectangles for the lateral faces –L–Lateral edges are altitudes 2.Oblique prism: –L–Lateral edges are NOT altitudes

Example of a Right Prism: Example of an Oblique Prism: Height

A prism is named by the shape of its base.

Some Examples of Right Prisms: Rectangular Prism: Base

If the edges have equal length then the rectangular prism is called a cube.

Triangular Prism: : Pentagonal Prism Base

Hexagonal Prism: And the list goes on….. Base

Lateral area The sum of the areas of the lateral faces

Theorem 12-1 The lateral area of a right prism equals the perimeter of a base times the height of the prism. L.A. = Ph

Total Area The sum of the areas of all its faces T.A. = L.A. + Total Area Lateral Area # of Bases Area of a Base

volume The number of cubic units enclosed by a three dimensional object. Therefore volume is measured in cubic units.

Theorem 12-2 The volume of a right prism equals the area of a base times the height of the prism.