Geometry of The Great Pyramids of Giza - Mathematics | Orchids
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Pyramids of Giza

The pyramid of Giza is famous for being the largest pyramid structure. Students will learn about pyramids, the great pyramid of Giza, pyramid 3d shapes, pyramid shape examples, tombs etc. That also connects students with the mathematical concept of 3d shapes in maths.

What Is Pyramid?

Pyramids and tombs are made in ancient times for the dead people. Pharaohs of Egypt are expected to be a god in the afterlife. They used to build massive pyramid graves for the next world and the gods. These pyramids were filled with everything each ruler would need to sustain themselves in the next world. Pharaoh Khufu is the first one to build the first pyramid of Giza for himself.

Great Pyramid of Giza:

Pharaoh Khufu’s great pyramid is the largest in Giza and is 147 meters above the plateau. Each gigantic pyramid includes temples, a palace, solar boat pits, and other structures. Egyptian pyramids are one of the seven wonders of the world.

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Pyramid Shapes

A pyramid is a construction with triangular outer surfaces that meet with a single step at the top, making the figure roughly a pyramid in the geometric sense. A pyramid may have a base as triangular, quadrilateral or polygonal. As such, it has at least three exterior triangular surfaces. The square pyramid has a square base and four triangular exterior surfaces.

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What Is a Tomb?

Traditionally, tombs are made to contain the remains of dead people. The tomb has always been considered the home of the dead people, and these are constructed as the final resting place of the soul of the dead people. During the Mughal empire, India was introduced to the building of a tomb for the ones who passed away. Their magnificent tombs are made to show honour to the deceased. The famous tombs made for the dead are Bibi ka Maqbara, Taj mahal, Hazira Maqbara, Tomb of Akbar the great, Gumbaz at Seringapatam, and Sheikh Chilli’s Tomb. The Taj Mahal is one of the seven wonders of the world. Türbe of Damad Ali-Pasha is an ottoman mausoleum erected which is also a tomb. The tower of the tomb is conical. The martyrdom of Husseyn ibn Ali is also a tomb that is Muslims’ pilgrimage.

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The tower form of the tomb may have been based on the
cylindrical and conical shape. Traditionally the burial was made on
a circular ground plan. But square, rectangular and polygonal
configurations were introduced in the 12 century.

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3d Shapes in Maths:

Question 1:

The School Has Arranged a Trip to Agra for the Grade 3 Students. Students Visited the Taj Mahal. The teacher asked students to Identify the 3-D shapes that resemble the Taj Mahal's parts. What Will Be Their Answers? Mark in the Picture.

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Answer:

The answer of the students will be

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Question 2:

Daniel Visited the Pyramid of Pharaoh Khafre. He Identified the Corners, Edges and Faces of the Pyramid: Mark and Count the Corners, Edges and Planes of the Pyramid of Pharaoh Khafre.

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Answer:

In the below picture, the corners, edges and faces are marked in the pyramid of Pharaoh Khafre.

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Hence the number of corners, edges and faces of the pyramid of Pharaoh Khafre is

Corners Edges Faces
1 8 5

Question 3:

Fatima’s Uncle Has Shown Her the Picture of Sheikh Chilli Ka Tomb. Then He Asked Her to Mark and Counted the Number of Faces of Sheikh Chilli’ Ka Tomb. Mark and Count the Faces of Sheikh Chilli Ka Tomb.

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Answer:

Here is the picture where she marked the faces of Sheikh Chilli ka tomb.

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In the below list, the number of faces of Sheikh Chilli ka tomb is given explicitly.

Curved faces 1
Plane faces 7

Question 4:

Ramu Was Given the Below Picture, and the Teacher Asked Him to Mark and Counted the Number of Edges and Corners.

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Help Ramu to Solve the Question.

Answer:

In the picture below, Ramu has marked the hexagonal pyramid's edges, faces and corners.

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In the below lists, a hexagonal pyramid's number of corners, edges and faces is given explicitly.

Corners Edges Faces
1 12 7

Question 5:

Marry, and Rani Is Playing a Game. Marry Has Given Rani a Picture of a Hexagonal Prism and Asked Her to Mark and Count the Edges, Faces and Numbers of the Corners. Similarly, Rani Has Given Mary a Cylinder and Asked Her to Mark and Count the Edges, Faces and Corners. Mark and Count the Edges, Faces and Corners and Find the Difference and Similarities Between Them.

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Answer:

Marry’s response will be following

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The below chart the number of edges, faces and corners of the hexagonal prism.

Corners Edges Faces
12 18 8

Rani’s answer will be the following.

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The below chart the number of edges, faces and corners of the Cylinder.

Corners Edges Faces  
    Plane Faces Curved faces
0 2 2 1

Here are the difference and similarities between the figures shown in the table.

Difference Similarity
a) Hexagonal prism has corners, but the cylinder doesn’t have any corners.
b) Cylinder has curved Faces, but hexagonal prism has no curved faces.
The hexagonal prism and the cylinder are 3-D shapes with plane faces and edges.
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