Geometria del Espacio

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?

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.

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.

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