Surface area of triangular prisms and pyramids

Slides:

Advertisements

Similar presentations

Surface Area of Prisms.

Advertisements

Volume of Triangular Prism. Volume of a Triangular Prism Length Volume of a prism = Area x length Area of triangle = ½ x base x height.

Bell Work Find the surface area of each figure.

Surface area Review. Example CUBE Area of one face: 5² = 25 SA= (6)(25) SA= 150 m² Find the Surface Area.

6.3: Surface Areas of Pyramids and Cones

Lesson 9-2: Prisms & Pyramids 1 Prisms and Pyramids Lesson 9-2.

EXAMPLE 1 Use the net of a prism Find the surface area of a rectangular prism with height 2 centimeters, length 5 centimeters, and width 6 centimeters.

Surface Area and Volume Three-Dimensional Figures and.

Surface area of a cube and rectangular prism

Perimeter, Area, Surface Area, and Volume Examples

1 Prisms and Pyramids Mrs. Moy. Lesson 9-2: Prisms & Pyramids 2 Right Prisms Lateral Surface Area (LSA) of a Prism = Ph Total Surface Area (TSA) = Ph.

Surface Area: Prisms and Cylinders

P.O.D. #5 basic advanced 4 in 2 in Find the area of the figure above. Find the area of the trapezoid above. 7 cm 5 cm 3 cm A = ½  (b 1 + b 2 )  h =

Surface Area, Lateral Area, and Volume of Prisms and Pyramids

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

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

5 Minute Check Find the SA. Complete in your notebook

Warm Up. Difference between a prism and a pyramid.

10.6 Surface Area of Pyramids, Cones and Spheres SA = B + Pl Slant height (l)- the height of the triangular faces.

Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.

10-3 Example 1 What is the surface area of the rectangular prism?

Surface area with nets. 8 ft. 3 ft # miles 433 miles X miles # 9.

Lesson : Prisms & Pyramids 1 Prisms and Pyramids.

GEOMETRY HELP Use a net to find the surface area of the cube. Draw a net for the cube. Find the area of one face.11 2 = 121 The area of each face is 121.

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.

Using Geometric Shapes to Build 3-Dimensional Forms (solids)

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

+ Pyramids and Prisms. + Solid An object with 3 Dimensions Height, Width, Length.

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

Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.

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 of a 3-D solid. Definition Surface Area – is the total number of unit squares used to cover a 3-D surface.

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

Surface Area. Definitions: Surface Area – Is the sum of the areas of a three- dimensional figure’s surfaces. Net – Is the shape made when the surface.

Do Now Write this down! Below are nets for 3D shapes. Identify the shape and find the area of the net cm 7 ft 10 ft.

7 th Grade Math Obj. 4c Surface Area is the amount of exposed area on a 3-D object. Surface Area is always measured in square units, just like Area is.

Problem of the Day Which figure has the longer side and by how much, a square with an area of 81 ft 2 or a square with perimeter of 84 ft? A square with.

11cm 9cm Area: Perimeter: 99cm2 40cm.

Surface Area of Pyramids

9.2; 11-13, 24-26, ~ ~

Surface Area of Pyramids

Surface Area of Prisms And Cylinders

9-1B Surface Area of Pyramids

Find the SA. Complete in your notes

Lesson 9-2: Prisms & Pyramids

Day 1 - Surface Area of Prisms

Lateral Area, Surface Area, and Notes

Geometry-Part 9.

11cm 9cm Area: Perimeter: 99cm2 40cm.

Surface Area of Pyramids, Cones and Spheres

Surface Area of a Prism.

Surface Area 7th Grade Math Obj. 4c.

Lesson 9-2 Prisms and Pyramids.

Surface Area 7th Grade Math Obj. 4c.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area of Pyramids, Cones and Spheres

Surface Area 10-9 Warm Up Problem of the Day Lesson Presentation

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area of Prisms And Cylinders

7.G.5 Surface Area of a prism

Lesson 9-2: Prisms & Pyramids

Surface Area of Pyramids, Cones and Spheres

Lesson 9-2: Prisms & Pyramids

Lesson 9-2: Prisms & Pyramids

Lateral Area, Surface Area, and Notes

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Geometry/Trig 2 Name: ____________________________________

– I can find the surface areas of prisms, pyramids, and cylinders

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

Lesson 7 Surface Area of Pyramids

Presentation transcript:

Surface area of triangular prisms and pyramids

The nets for a triangular prism and a square pyramid

How to draw a triangular prism

Surface area of a triangular prism SA= Ph + 2B = (7+7+5) •12 +2 ( •5•10) 1 2 7m = 19 •12 + 2 •25 10m = 228 + 50 7m = 278 m² 12m 5m P = perimeter of the base (the triangle) h = the height of the prism B = area of the base

How to draw a pyramid

Surface area of a square pyramid 1 2 8 SA = B + Pl 1 2 (5 +5 +5 +5) •8 = (5 • 5) + 5 1 2 = (25) + (20) •8 1 2 = (25) + (160) 5 = 25 + 80 B = area of the base = 105 ft2 P = perimeter of the base l = length of the triangular face

Surface area of a triangular prism SA= Ph + 2B = ( ) • + ( • • ) m = • + • m = + m = m² m m P = ________ of the base (the triangle) h = the ________ of the prism B = _______ of the base

Surface area of a square pyramid 1 2 SA = B + Pl ( ) • = ( ) + = ( ) + ( ) • = ( ) + ( ) = + B = ______ of the base = ft2 P = __________ of the base l = ________ of the ____________ face