Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny.

Slides:



Advertisements
Similar presentations
Working with Shapes in Two Dimensions
Advertisements

1. 2 A trapezoid is a quadrilateral with one pair of parallel sides. To find the area of a trapezoid you use the following formula: A = (b 1 + b 2 )h.
MAT 105 SPRING 2009 Chapter 2 Geometry.
12.5 Surface Area of Pyramids By Tosha Williams, Taylor Clear, and Jessica Strassle.
$200 $300 $400 Final Jeopardy $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 Surface Area of.
Vocabulary Area Surface AreaVolume More vocabulary.
Surface Areas of Pyramids Unit 5, Lesson 4
Lesson 9-2: Prisms & Pyramids 1 Prisms and Pyramids Lesson 9-2.
Three-Dimensional Figure A three-dimensional figure is a shape whose points do not all lie in the same plane.
Surface Area What does it mean to you? Does it have anything to do with what is in the inside of the prism.? Surface area is found by finding the area.
VOCABULARY GEOMETRIC FIGURES. POLYGON Is a closed plane figure formed by three or more line segments that meet at points called vertices.
12.3 Surface Area of a Pyramids and Cones Slant Height ( l )
Pyramids Geometry Mr. Bower BowerPower.net. Pyramid There are a lot of interesting parts to a pyramid We will focus on pyramids that have regular polygons.
Perimeter and Area of Parallelograms and Trapezoids 1/10/2012 Algebra 2.
Warm-Up Find the area and perimeter of the rectangle
MENSURATION 1. Need for standard units. 2. Formulae for some geometrical figures. 3. Applications.
Area.
Surface Area of Prisms Unit 5, Lesson 2. What is a Prism? Definition: –A three dimensional figure with 2 congruent polygon bases and rectangular sides.
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.
Chapter 10: Surface Area and Volume
Lesson 10-6 Solid Figures.
Surface Area of Pyramids and Cones SWBAT: Define Pyramid, Vertex of a pyramid, slant height, Regular Pyramid, Cone, and Right cone. Find the area.
The Pyramid Geometric Solids:. Solid Geometry Review: Solid Geometry is the geometry of 3D- dimensional space that we live in. The three dimensions are.
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.
Section 12.3 Surface Areas of Pyramids and Cones.
Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.
Section 12.3 Notes.
Chapter Surface Area of Pyramids and Cones.
What shapes do you see?.
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.
Warm Up Find the missing side length of each right triangle with legs a and b and hypotenuse c. 1. a = 7, b = c = 15, a = 9 3. b = 40, c = 41 4.
Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.
Surface Area of Three- Dimensional Figures Today you will learn to: determine the surface area of three- dimensional figures. M07.C-G.2.2.2: Solve real-world.
Lesson : Prisms & Pyramids 1 Prisms and Pyramids.
SURFACE AREA & VOLUME PYRAMIDS Unit 10 April 6, 2015.
10-5 Surface Area of Pyramids Slant height (ℓ) of a pyramid is the height of the triangular faces. It goes along the side of the pyramid. Also called the.
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.
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:
Holt Geometry 10-5 Surface Area of Pyramids and Cones 10-5 Surface Area of Pyramids and Cones Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Surface Area of a Cone and Pyramid. A cone has a circular base and a vertex that is not in the same plane as a base. In a right cone, the height meets.
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.
Warm Up Find the surface area of the right prisms.
9.3 Surface Area of Pyramids and Cones
Sunshine State Standards
Surface Area of Pyramids
12.2 Surface Areas of Pyramids
9.2; 11-13, 24-26, ~ ~
12.3 – Surface Area of Pyramids and Cones
9-1B Surface Area of Pyramids
Lesson 9-2: Prisms & Pyramids
10-4 Surface Areas of Pyramids
Pyramids.
Lesson 9-2 Prisms and Pyramids.
11-3 Surface Area of Pyramids and Cones
Warm Up Problem Is this an arithmetic or geometric sequence? What is the next number in the sequence? 12, 27, 42, 57, …
Warm-Up Complete Worksheet
10-4 Surface Areas of Pyramids
Surface Area and Volume of Pyramids
Lesson 9-2: Prisms & Pyramids
Surface Areas of Pyramids and Cones
Lesson 9-2: Prisms & Pyramids
Lesson 9-2: Prisms & Pyramids
Surface Area of Pyramids
Area and Perimeter Review
Presentation transcript:

Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari ( ) Muhammad Naufal Faris ( ) By Group 14 th Leny Fitryasari ( ) Muhammad Naufal Faris ( ) Mathematics in Daily Life

Do you know Bedugul lake????

Bedugul lake located in the village Candikuning, Tabanan, Bali. Bedugul lake located at a height of more than 1000 meters from the surface of the sea. In the middle of the Bedugul lake, there is a temple namely Ulun Danu temple.

Ulun Danu Temple

Ulun Danu Temple is a temple located in the village Candikuning, Tabanan, Bali. This temple was built in 1663 in several islands. This is the central praying temple to the Sang Hyang Dewi Danu, for give prosperity.

Ulun Danu Temple while the tide Ulun Danu Temple while low tide

Ulun Danu Temple seen at day Ulun Danu Temple seen at evening

Ulun Danu Temple as the symbol of our money

Bedugul Botanical Garden

Ulun Danu Temple consist of trapezoids and pyramid Trapezoid Pyramid

Trapezoid Trapezoid is a quadrilateral which has one pair of parallel side. AB and CD is parallel. AD and BC are hypotenuse. a b

Formula Heigh t Surface Area The Parallel Side t b a

One trapezoid of Ulun Danu Temple at the bottom side has AB = 5 m, CD = 3 m and hypotenuse = 2m. The surface area of one trapezoid is 1 m 3 m 5 m 2 m D C A B 1 m t

1m1m 1m1m 3m3m 5m5m 2m2m 2m2m Because there are 4 trapezoid in the bottom of Ulun Danu Temple, so the surface area of 4 trapezoid is

D B A C E F G Pyramid Pyramid – A three dimensional figure that the base is quadrilateral and the lateral face is triangle. Vertex Height Slant Height Perimeter

Formula Surface Area D B A C E L B F Lateral Area Base Perimeter Slant Height Base Area Lateral Area

Pyramid of Ulun Danu Temple has AB = 1 m, EC = 1m. The surface area of pyramid is t 1 m 0,5 m A E D C B F

A C E D B F G L B

1. Calculate the surface area of the pyramid with a perpendicular height 12 cm and base edge 10 cm.

5 cm 12 cm 5 cm

2. Calculate the hypotenuse of trapezoid if given the surface area is 189 cm cm 9 cm

18 cm 9 cm 14 cm