Pyramids Geometry Mr. Bower BowerPower.net. Pyramid There are a lot of interesting parts to a...

15
Pyramids Geometry Mr. Bower BowerPower.net

TAGS:

Transcript of Pyramids Geometry Mr. Bower BowerPower.net. Pyramid There are a lot of interesting parts to a...

Page 1: 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.

Pyramids

GeometryMr. Bower

BowerPower.net

Page 2: 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.

Pyramid

• There are a lot of interesting parts to a pyramid

• We will focus on pyramids that have regular polygons as bases

• This pyramid is a SQUARE PYRAMID

Page 3: 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.

Pyramid Parts

• b is a BASE EDGE of the pyramid

• For a regular pyramid, the perimeter will equal

b • (# of sides)

Page 4: 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.

Pyramid Parts

• h is the height of the pyramid

• For a regular pyramid, h connects the center to the apex (the top point)

Page 5: 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.

Pyramid Parts

• l is the SLANT HEIGHT of the pyramid

• Each side of a regular pyramid is an isosceles triangle – l is the height of each of these triangles

Page 6: 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.

Pyramid Parts

• r is a RADIUS of the pyramid

• In a regular pyramid, r connects the center to a vertex on the base

• It’s the same r you expect on a regular polygon

Page 7: 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.

Pyramid Parts

• a is an APOTHEM of the pyramid

• In a regular pyramid, a connects the center to a midpoint of a base edge

• It is perpendicular to the base edge

Page 8: 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.

Pyramid Parts

• A LATERAL EDGE (L.E) connects the apex with a vertex on the base

• A L.E. is the segment where two lateral faces meet

Page 9: 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.

Pyramid – Right Triangle #1

• There are three types of right triangles in a regular pyramid

Page 10: 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.

Pyramid – Right Triangle #2

• There are three types of right triangles in a regular pyramid

Page 11: 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.

Pyramid – Right Triangle #3

• There are three types of right triangles in a regular pyramid

Page 12: 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.

Pyramid – Lateral Area

Page 13: 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.

Pyramid – Surface Area

Page 14: 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.

Pyramid – Volume

Page 15: 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.

BowerPower.net


EGYPTIAN PYRAMIDS...The Pyramid of Khufu, sometimes called the 'Great Pyramid' of Giza is the largest of all the Egyptian pyramids. It is one of the 'Seven Wonders of the Ancient World'

EGYPTIAN PYRAMIDS...The Pyramid of Khufu, sometimes called the 'Great Pyramid' of Giza is the largest of all the Egyptian pyramids. It is one of the 'Seven Wonders of the Ancient World'

News, Democracy and YouInverted pyramid. Topic 4. Luckily, you don’t need to know anything about . pyramids or geometry to use and understand the inverted pyramid! The inverted pyramid

News, Democracy and YouInverted pyramid. Topic 4. Luckily, you don’t need to know anything about . pyramids or geometry to use and understand the inverted pyramid! The inverted pyramid

Convolution Pyramids - The Hebrew University · Convolution Pyramids Zeev Farbman ... cian Pyramid, as well as certain ... Convolution with separable 2D kernels, which may be expressed

Convolution Pyramids - The Hebrew University · Convolution Pyramids Zeev Farbman ... cian Pyramid, as well as certain ... Convolution with separable 2D kernels, which may be expressed

Surface Area of Pyramids - ConnellMathconnellmath.cmswiki.wikispaces.net/file/view/Pyramids Surface Area... · Surface Area of Pyramids May 03, 2013 ... Be Precise A triangular pyramid

Surface Area of Pyramids - ConnellMathconnellmath.cmswiki.wikispaces.net/file/view/Pyramids Surface Area... · Surface Area of Pyramids May 03, 2013 ... Be Precise A triangular pyramid

Egyptian Pyramids - Ms. Ford's Websitefordr.weebly.com/.../0/5/4/105476095/chapter_3_day_2_egyptian_pyr… · Old Kingdom Pyramid Complexes •The Age of the Pyramids was one of the

Egyptian Pyramids - Ms. Ford's Websitefordr.weebly.com/.../0/5/4/105476095/chapter_3_day_2_egyptian_pyr… · Old Kingdom Pyramid Complexes •The Age of the Pyramids was one of the

G4-34: Prism and Pyramid Bases page 339 Example · G4-34: Prism and Pyramid Bases page 339 Melissa is exploring differences between pyramids and prisms. She discovers that.... A pyramid

G4-34: Prism and Pyramid Bases page 339 Example · G4-34: Prism and Pyramid Bases page 339 Melissa is exploring differences between pyramids and prisms. She discovers that.... A pyramid

POPULATION PYRAMIDS. Objectives §WHAT is a population pyramid? §HOW to read a population pyramid? §Recognise SHAPES of population pyramids. §IMPORTANCE.

POPULATION PYRAMIDS. Objectives §WHAT is a population pyramid? §HOW to read a population pyramid? §Recognise SHAPES of population pyramids. §IMPORTANCE.

Find the Surface Area… - North Thurston Public Schools Areas of Pyramids . Pyramids Pyramid

Find the Surface Area… - North Thurston Public Schools Areas of Pyramids . Pyramids Pyramid

Population Pyramids Demographic Transition · Population pyramids Demographic transitions. Population Pyramids . Definition A population pyramid shows the percentage of males and

Population Pyramids Demographic Transition · Population pyramids Demographic transitions. Population Pyramids . Definition A population pyramid shows the percentage of males and

Egypt and Egyptians By Maryah Hamad. Pyramids The Egyptian pyramids are ancient pyramid-shaped masonry structures located in Egypt. There are 138 pyramids.

Egypt and Egyptians By Maryah Hamad. Pyramids The Egyptian pyramids are ancient pyramid-shaped masonry structures located in Egypt. There are 138 pyramids.

THE GREAT PYRAMID OF GIZA The Great Pyramid of Giza (called the Pyramid of Khufu and the Pyramid of Cheops) is the oldest and largest of the three pyramids.

THE GREAT PYRAMID OF GIZA The Great Pyramid of Giza (called the Pyramid of Khufu and the Pyramid of Cheops) is the oldest and largest of the three pyramids.

STANDING STRONG - sbhservices.orgH2018FY.pdf · pyramids in the Giza Necropolis located in modern Cairo, Egypt. The Great Pyramid The Great Pyramid is the largest of the three pyramids,

STANDING STRONG - sbhservices.orgH2018FY.pdf · pyramids in the Giza Necropolis located in modern Cairo, Egypt. The Great Pyramid The Great Pyramid is the largest of the three pyramids,

Food Pyramids –US Department of Agriculture – 1992 and 2004 –Healthy Eating Pyramid – Harvard University –Walter Willett Pyramid.

Food Pyramids –US Department of Agriculture – 1992 and 2004 –Healthy Eating Pyramid – Harvard University –Walter Willett Pyramid.

Volume: Pyramids, Cones and Spheres Volume of a Pyramid or Cone = Volume of a Pyramid Volume of a Cone r.

Volume: Pyramids, Cones and Spheres Volume of a Pyramid or Cone = Volume of a Pyramid Volume of a Cone r.

Deadlines Clarification Image Pyramids - Iowa State …alexs/classes/2007_Spring_575X/slides/06... · Image Pyramids? What is an Image Pyramid? ... Image Morphing ... (a closeup of

Deadlines Clarification Image Pyramids - Iowa State …alexs/classes/2007_Spring_575X/slides/06... · Image Pyramids? What is an Image Pyramid? ... Image Morphing ... (a closeup of

Ecological Pyramids. Three types of ecological pyramids Pyramid of Energy Pyramid of Biomass Pyramid of Numbers.

Ecological Pyramids. Three types of ecological pyramids Pyramid of Energy Pyramid of Biomass Pyramid of Numbers.

Pyramids S-lines - Kalwall ® Pyramids S-lines ... Geo-Roofs, Pyramids & S-line skylights are all available in ... PYRAMID PLAN VIEW # of Panels per Side

Pyramids S-lines - Kalwall ® Pyramids S-lines ... Geo-Roofs, Pyramids & S-line skylights are all available in ... PYRAMID PLAN VIEW # of Panels per Side

Ancient Egyptians Pyramids Click on Picture. Contents Why pyramids were built The most famous pyramid How big the pyramids are How long pyramids took.

Ancient Egyptians Pyramids Click on Picture. Contents Why pyramids were built The most famous pyramid How big the pyramids are How long pyramids took.

Explaining the Shafts in Khufu's Pyramid at Gizagizapyramids.org/pdf_library/sakovich_jarce_42_2005-6.pdf · 2009. 2. 13. · those particular pyramids as contrasted with the pyramids

Explaining the Shafts in Khufu's Pyramid at Gizagizapyramids.org/pdf_library/sakovich_jarce_42_2005-6.pdf · 2009. 2. 13. · those particular pyramids as contrasted with the pyramids

PYRAMIDS Abby and Tyler. The first kind of pyramid is the step pyramid. THE FIRST PYRAMID.

PYRAMIDS Abby and Tyler. The first kind of pyramid is the step pyramid. THE FIRST PYRAMID.