10-3 Surface Areas of Prisms and Cylinders

Slides:

Advertisements

Similar presentations

9-4 Surface Areas of Prisms and Cylinders

Advertisements

10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones

Chapter Area, Pythagorean Theorem, and Volume 14 Copyright © 2013, 2010, and 2007, Pearson Education, Inc.

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

Chapter 10 Review Game. Lessons 10-6 Solid Figures 1, 2, 3, 4, 5, Surface Area 1, 2, 3, 4, 5, Finding Volume 1, 2, 3, 4, 5,

Solids – Volume and Area We will be using primarily 4 solid objects in this lesson. Right Circular Cylinder Right Circular Cone r h r h s.

10 m² 4 m =5 m( A = 5 m. The same formula (V = Bh) that is used to find the volume of rectangular prisms and cylinders, can also be used to find the volume.

7.G.6 Surface Areas of Prisms and Cubes Objective 7.G.6 – Find the surface area of prisms.

Notes on Intro to 3D Figures

Volume of Rectangular Prism and Cylinder Grade 6.

EXAMPLE 1 Find the area of a lateral face of a pyramid SOLUTION Use the Pythagorean Theorem to find the slant height l. l 2 = Write formula. l.

EXAMPLE 1 Find the area of a lateral face of a pyramid SOLUTION Use the Pythagorean Theorem to find the slant height l. l 2 = Write formula. l.

Surface Areas of Prisms and Cylinders Section 11.6.

Perimeter, Area, Surface Area, and Volume Examples

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

A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.

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.

© 2010 Pearson Education, Inc. All rights reserved Concepts of Measurement Chapter 13.

Chapter 11: Surface Area & Volume

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

Section 12.4 & 12.5  Volume of Prisms & Cylinders olume of Pyramids & Cones  Go over Quizzes.

The Pyramid Geometric Solids:. Solid Geometry Review: Solid Geometry is the geometry of 3D- dimensional space that we live in. The three dimensions are.

10-4 Surface Areas of Pyramids and Cones

11.2 and 11.4: Prisms and Cylinders

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.

11-2 Surface Areas of Prisms and Cylinders Objective – Find the surface area of prisms and cylinders.

Find the volume of this cylinder 4 cm 3 cm Find the VOLUME of this prism 6 m 10 m.

Grade 8 math chart TCU Is Going To The Rose Bowl!!!!!!!!!!!!!!!!!!!!

Perimeter, Area, and Volume Geometry and andMeasurement.

GEOMETRY 10.5 Surface Area of Pyramids and Cones.

Prisms & Pyramids 1 Prism and Pyramids Formulas Prisms: Lateral Area: L.A. = ph (p = perimeter, h = height) Surface Area: S.A. = ph + 2B (B = area of base)

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

12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

10-3 Surface Areas of Prisms

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.

Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.

Surface Area Geometry and andMeasurement. Measurement Rectangular Prism Rectangular Prism Surface Area: sum of the areas of all of the faces Surface Area:

) Find the surface area of this rectangular prism. 2) Find the volume of this rectangular prism.

10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

11.2 and 11.4: Prisms and Cylinders

Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure –Answer must be in cubic units ex. in 3.

Surface Area of Pyramids and Cones

12.2 – Surface Area of Prisms and Cones. Cylinder: Prism with circular bases.

Describe how to find the volume of a prism. Give at least 3 examples. Describe how to find the volume of a cylinder. Give at least 3 examples. Describe.

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

Learn and apply the formula for the surface area and volume of a pyramid. Learn and apply the formula for the surface area and volume of a cone. Objectives.

PIB Geometry 12-2: Pyramids Warm Up Find the volume and total surface area of a right regular octagonal prism with sidelength = 3 lightyears and.

10-4 Surface Areas of Pyramids and Cones

Prisms & Cylinders Base Face- flat surfaces

Honors Geometry Solids Project

10-4 Surface Areas of Pyramids

Finding the Volume of 3D Shapes

Surface area and volume formulas

Geometry-Part 9.

Surface Areas of Prisms and Cylinders

Lateral Area &Surface Area Of Prisms

Surface Areas of Prisms, Cylinders, Pyramids and Cones

10-4 Surface Areas of Pyramids

Lateral Area & Surface Area Of Pyramids & Cones

10-4 Surface Areas of Pyramids

Surface Area and Volume of Pyramids

Surface Area of Prisms and Cylinders

14 Chapter Area, Pythagorean Theorem, and Volume

Objective - To identify solid figures.

Surface Areas of Pyramids and Cones

Presentation transcript:

10-3 Surface Areas of Prisms and Cylinders Objective – Find the surface area of prisms and cylinders.

CA Geometry Standard 9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

Types of Prisms Lateral Edges Lateral Faces Bases Bases Triangular Prism Pentagonal Prism h h Right Prism Oblique Prism

Theorem 10-1 Lateral Area and Surface Area of a Prism Base Perimeter h Height Base Area Surface Area Lateral Area Base Area

#1 Finding the Surface Area of a Prism Find the surface area of the regular hexagonal prism. P = 36 12 m 6 m

#2 Finding the Surface Area of a Prism Find the surface area of the triangular prism. 12 cm 5 cm 6 cm P = 16 5 cm 5 cm h 3 cm

Theorem 10-2 Lateral Area and Surface Area of a Cylinder Base Area Radius Lateral Area Radius Height h Surface Area Lateral Area Base Area

#3 Finding the Surface Area of a Cylinder Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi. 5 cm 10 cm

#4 Finding the Surface Area of a Cylinder Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi. 9 ft 6 ft