By Mr. Martin. Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex.

Slides:



Advertisements
Similar presentations
12-3. Pyramids  A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that.
Advertisements

6.3: Surface Areas of Pyramids and Cones
Surface Areas of Pyramids Unit 5, Lesson 4
Lesson 9-2: Prisms & Pyramids 1 Prisms and Pyramids Lesson 9-2.
Surface Area of Pyramids & Cones Section Objectives Find the surface area of pyramids Find the surface area of cones.
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.
LESSON THIRTY-SIX: DRAW LIKE AN EGYPTIAN. PYRAMIDS AND CONES So now that we have prisms under our collective belt, we can now begin to understand pyramids.
Surface Area and Volume
Honors Geometry Section 7.3 Surface Area & Volume of Pyramids
Geometry 11-3 Surface Areas of Pyramids and Cones.
Chapter 10: Surface Area and Volume
11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)
Geometry B Section 12.3 Surface Area of Pyramids and Cones.
Chapter 11.3 Surface Areas of Pyramids and Cones.
Lesson 12-5, 6, 13-2 Cones & Pyramids. Objectives Find lateral areas of regular pyramids Find surface areas of regular pyramids Find the volume of pyramids.
Surface Area of Pyramids and Cones SWBAT: Define Pyramid, Vertex of a pyramid, slant height, Regular Pyramid, Cone, and Right cone. Find the area.
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.
Chapter 9 9.3: Surface Area and Volume of Pyramids
Surface Area of Pyramids Pyramid – A polyhedron with all faces except one intersecting a vertex. Pyramids are named for their bases, which can be a polygon.
Surface Area, Lateral Area, and Volume of Prisms and Pyramids
Surface Area The sum of the area of all the faces of a polyhedron.
Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.
Warm Up. Difference between a prism and a pyramid.
Section 12.3 Notes.
Chapter Surface Area of Pyramids and Cones.
Surface Areas of Pyramids Section Find the Surface Area… Find the surface area of a cylinder with a diameter of 10cm and a height of 15cm.
11-3 Surface Areas of Pyramids and Cones
Geometry Surface Area of Pyramids and Cones. December 8, 2015 Goals Know what a pyramid is. Find the surface area of a pyramid. Know what a cone is. Find.
Chapter 11: Surface Area and Volume Section 11-2: Surface Areas of Prisms and Cylinders.
Lesson : Prisms & Pyramids 1 Prisms and Pyramids.
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 8.7 Surface Area. Objective Apply the surface area formula to various 3-dimensional figures in order to find the area 8.7 Surface Area.
Boyd/Usilton.  A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.  A regular pyramid.
Chapter 11: Surface Area and Volume Section 11-3: Surface Areas of Pyramids and Cones.
Section 9.2 Nack/Jones1 Section 9.2 Pyramids, Area, & Volume.
The perimeter p of the square base is 4 X 7.5 ft, or 30 ft.
SURFACE AREA & VOLUME PYRAMIDS Unit 10 April 6, 2015.
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.
12.5 Surface Areas of Pyramids What you’ll learn: 1.To find lateral areas of regular pyramids. 2.To find surface areas of regular pyramids.
Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone.
Surface Area and Volume of Pyramids Goal: Students will find the surface area and volume of pyramids.
Pyramid – a polyhedron with one base (a polygon) and triangular lateral faces that meet at a common vertex. Regular Pyramid – a pyramid with a regular.
 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 Area of Pyramids and Cones
Surface Area of Pyramids and Cones
Warm Up Find the surface area of the right prisms.
9.3 Surface Area of Pyramids and Cones
12.2 Surface Areas of Pyramids
12.3 – Surface Area of Pyramids and Cones
Section 12-2 Pyramids.
9-1B Surface Area of Pyramids
Lesson 9-2: Prisms & Pyramids
Lesson 9-2: Prisms & Pyramids
Lesson 9-2 Prisms and Pyramids.
10-5 Surface Area of Pyramids & Cones
11.3 Surface Areas of Pyramids and Cones
11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones
12-2: Area and Volume of Pyramids
Objectives Learn and apply the formula for the surface area of a pyramid. Learn and apply the formula for the surface area of a cone.
11-3 Surface Area of Pyramids and Cones
Surface Area of Pyramids and Cones
Warm-Up Complete Worksheet
Surface Area and Volume of Pyramids
Lesson 9-2: Prisms & Pyramids
Lesson 9-2: Prisms & Pyramids
Lesson 9-2: Prisms & Pyramids
10-4 surface area of pyramids and cones
Section 8.2 Pyramids, Area, & Volume
Presentation transcript:

By Mr. Martin

Pyramid Pyramid: A polyhedron with only one base (can be any shape) and the lateral faces are all triangles that meet at a common vertex. Altitude: The perpendicular segment from the vertex to the base (height is the length of the altitude) Slant Height: The length of the altitude on a lateral face of the pyramid (denoted with an l)

P = Perimeter of the base L = Slant Height B = Area of the Base

P = 4 * 3 P = 12 L = 2.5 LA = (1/2) * 12 * 2.5 LA = 15

B = ??B = L * W B = 3*3 = 9 SA = LA + B (15) + 9 SA = 24

P = 7 * 6 P = 42 L = 13.4 LA = (1/2) * 42 * 13.4 LA = 281.4

B = ??B = (1/2)ap B = (1/2)(6.1)(42) B = SA = LA + B (281.4) SA = 409.5

 To solve for LA of pyramids…all you need are 2 letters…  P  L  If you don’t have the slant height…but you have the altitude…you can use the Pythagorean Theorem!

Whaa???? We know the altitude but not the slant height…..

Now…find the surface area!!

13