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Geometria del Espacio

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Geometria del Espacio

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About this activity

Acerca de conceptos básicos de Pirámide

Created by

Leidy Munar
Leidy Munar
Colombia

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Geometria del Espacio
 

Geometria del EspacioOnline version

Acerca de conceptos básicos de Pirámide

by Leidy Munar
1

First: Read the concepts carefully: "A pyramid is a polyhedron, whose base is any polygon and whose lateral faces are triangles with a common vertex, which is the vertex of the pyramid." (Superprof, 2019) The elements of the pyramid are: h = Height of the pyramid: distance from the center of the base to the vertex of the pyramid. Lateral Face = is one of the lateral triangles that make up the pyramid. Base edge = It is the side of the base Polygon ap = apothem of the base polygon: Distance from the center of the base to any of its sides. Base of the polyhedron = It is the polygon where the Pyramid rests. Ap = Apothem of the lateral polyhedron, it is the height of a lateral face. Edge of the lateral = It is the side of a lateral face of the polyhedron. Vertex of the pyramid: Point of union of all the faces. Information on Peña (s.f.) According to the above, answer the following question: A pyramid with a square base whose measure is 5cm, and the lateral edge is 8 cm. How high is the pyramid?

2

Second: The area of a pyramid is calculated by adding the area of the base (ab) and the area of the triangles on the side faces (al). According to the above, he responds: Find the Total area of the roof of a hut that is shaped like a Pyramid (see image) whose base is square 3.5m and the height is 10 meters.

3

Third: The volume V of a pyramid is one-third the area of the base B times the height h. According to the above, he responds: Find the volume of a hut that is shaped like a Pyramid (see image) whose base is square 3.5m and the height is 10 meters.

4

Four: According to the first question, the apothem can be found by:

Explicación

1. In this question the basic concepts are tested, given their elements, using the Pythagorean theorem, the value is found.

2. The basic concepts are put to the test, given their elements, by means of the Pythagorean theorem, the value of the apothems is found, to later find the value of the lateral area, which are 4 triangles and then multiply it by 4 and add it to the area from the base.

3. Through the clue in the question, the volume value is found by the value of the area of the base and is multiplied by the height and divided by 3.

 
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