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.

Slides:

Advertisements

Similar presentations

Surface Area of Prisms and Cylinders Section 12.2

Advertisements

10-3 Surface Areas of Prisms and Cylinders

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

6.3: Surface Areas of Pyramids and Cones

Lateral Area, Surface Area, and Notes

12-2: Surface Area of Prisms and Cylinders

Section 12.2 Notes. Prisms Prism and its Parts A prism is a three-dimensional figure, with two congruent faces called the bases, that lie in parallel.

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 Areas of Prisms and Cylinders Section 11.6.

Chapter 10: Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

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.

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

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

Chapter 10: Surface Area and Volume

Problems similar to what you will see on the chapter 11 exam.

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

10-4 Surface Areas of Pyramids and Cones

Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall ft3 2. cone with radius.

Section 12.3 Surface Areas of Pyramids and Cones.

Chapter 12 & 13 Lateral and Surface Areas & Volume.

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.

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

Section 12.3 Notes.

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)

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.

 Cone: a solid with one base that is a circle, and a curved, smooth lateral surface that comes to a point, the apex. No, because it has a curved lateral.

Lesson : Prisms & Pyramids 1 Prisms and Pyramids.

Surface Area of Regular Pyramids

Sec. 11 – 2 Surface Area of Prisms & Cylinders Objectives: 1) To find the surface area of a prism. 2) To find the surface area of a cylinder.

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.

Find the surface area of the prism. COURSE 2 LESSON 8-8 Then find the total area of the five faces. top bottom left side front side back side 10(26) +

Surface Area of Pyramids and Cones

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

Chapter 10 Notes Area: Parallelograms Area of a figure is the number of square units it encloses. The stuff inside of a figure. Area of a Parallelogram:

SURFACE AREA PRISMS AND CYLINDERS NET 2 NET 3 NET 4.

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

Cylinders and Cones Unit 12 Section 3 Identify the parts of cylinders and cones Find the lateral areas, total areas, and volumes of right cylinders and.

Cones and Pyramids. What are cones and pyramids? A pyramid is a polyhedron with one base – A polyhedron is a solid with flat surfaces that are shapes.

 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.

10-4 Surface Areas of Pyramids and Cones

HOW TO CALCULATE SURFACE AREA

Surface Area of Prisms & Cylinders

AREA OF SOLIDS.

Lesson 9-2: Prisms & Pyramids

Surface area and volume formulas

Lateral Area, Surface Area, and Notes

Surface Areas of Prisms and Cylinders

Lateral Area &Surface Area Of Prisms

11.6 Surface Area and Volume of Pyramids and Cones

Volume of Prisms and Pyramids

Surface Area of Pyramids and Cones

Volume of Prisms and Pyramids

Chapter 10 Extension Objective: To find missing dimensions

Surface Area of Prisms and Cylinders

Volume of Prisms.

Lateral Area, Surface Area, and Notes

Volume of Prisms and Pyramids

Skills Check Formulas.

Volume of Prisms. Volume of Prisms V = Bh B = area of BASE h = HEIGHT of the solid (use different formulas according to the shape of the base) h =

Lesson: 12 – 2 Surface Areas of Prisms & Cylinders

Volume of Prisms and Pyramids

12-2 Surface Area of Prisms and Cylinders

Presentation transcript:

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 Hexagonal Pyramid

BASE HEIGHT

Right Prism Oblique Prism height

Base Height Lateral Surface

Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces P = PERIMETER of base (add all sides of the base) B = area of BASE (use different formulas according to the shape of the base) h = HEIGHT of the solid Total Surface Area (TA or SA): the sum of the areas of all of its surfaces

Formulas for PRISMS LA = Ph Lateral Area = Perimeter of Base  height of prism SA = Ph + 2B Surface Area = Perimeter of Base  height of prism + 2  Area of Base

EX:1 Find the lateral area. (One base is the side that is on the ground.) 2.1 cm 3.6 cm 6.8 cm LA = cm 2

EX:2 Find the surface area. 2.1 cm 3.6 cm 6.8 cm SA = cm 2

EX:3 Find the lateral area. (One base is the side that is on the ground.) 6 m 8 m 9 m LA = 216 m 2

EX:4 Find the surface area. (One base is the side that is on the ground.) 6 m 8 m 9 m SA = 264 m 2

Formulas for Cylinders LA = 2  rh SA = 2  rh + 2  r 2

EX:5 Find the lateral area. Round to the nearest tenth. 5 cm 3.8 cm

EX:6 Find the surface area. Round to the nearest tenth. 5 cm 3.8 cm SA = 2  rh + 2  r 2

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

Pyramids are classified by the shapes of their bases

Surface Area verses Lateral Area of a Pyramid The lateral area of a pyramid: LA = P = Perimeter of the base l = slant height The surface area of a pyramid: SA = B = Area of the base

Example

Surface Area verses Lateral Area of a Cone The lateral area of a cone: LA = r = radius of the base l = slant height The surface area of a cone: SA =

Example

Students