The right and oblique PRISM-Parts and classification of a PRISM
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- เผยแพร่เมื่อ 21 ก.ค. 2024
- The straight and oblique prism-Parts of a prism-straight prism
In this video I am going to show you what is a right prism and an oblique prism. I will also demonstrate how to use a right prism to solve some basic geometry problems.
A prism is a polyhedron with two parallel and congruent bases, called simply bases, which can be any polygon. It also has as many lateral faces as there are sides at its base, these are always parallelograms such as squares, rectangles, rhombuses, etc.
Any edge contained in any of the bases of the prism is called a basic edge, while the side common to two lateral faces is known as a lateral edge. All lateral edges are parallel and of equal length.
The distance between the bases is the height of the prism.
The notation of a prism is done by indicating the type of prism followed by the letters that represent the vertices of the bases, separated by a hyphen. For our case in the figure shown, it is the pentagonal prism ABCDE-FGHIJ.
Types of prisms and ways to name them
Prisms can be classified according to different criteria; and these same criteria are used to name them.
1º) The prisms are classified and named according to the number of sides of the base polygon: triangular, quadrangular, rectangular, pentagonal, hexagonal, etc.
2º) They are classified and named according to whether the base polygon is regular (or symmetric) or irregular (or asymmetric).
3º) They are classified and named according to whether the base polygon is convex or concave.
4º) They are classified and named according to whether they are straight, that is, all their lateral faces are rectangles, or oblique or inclined. Normally, this type is only quoted if it is oblique or inclined, and when it is straight, nothing is usually said.
A prism is a solid with two parallel and congruent bases and lateral faces that are parallel regions. Any edge contained in any of the bases of the prism is called a basic edge, while the side common to two lateral faces is known as a lateral edge.
All lateral edges are parallel and of equal length. Prisms are named according to the number of sides that the base has, for example: if it has six sides, it is called a hexagonal prism.
In addition, the prism presents a straight section, which is the section determined in the prism by a plane perpendicular and secant to all
its lateral edges.
The height of a prism is the distance between the two bases.
Prism classes:
1.Right prism. It is one whose lateral edges are perpendicular to the bases.
2.Oblique prism. It is one whose lateral edges are not perpendicular to the bases.
3. Regular prism. It is a right prism whose bases are regular polygons.
4. Irregular prism. It is one whose bases are polygons
irregular.
straight prism.
A right prism is a prism in which its lateral edges are perpendicular to the base.
The ABCDE-FGHIJ pentagonal prism shown in the figure has the following measurements:
Lateral surface area.
The lateral surface area of a right prism is equal to the product of the perimeter of the base times the height.
Total surface area.
The total surface area of a right prism is equal to the lateral surface area plus twice the base area.
Volume.
The volume of a right prism is the product of the area of the base times the height.
Oblique prism.
It is that prism whose lateral edges are not perpendicular to the bases.
For the ABCDE-FGHIJ pentagonal prism shown in the figure, where Height (h) is the distance between the two bases, and the straight section (SR) is the section determined by a plane perpendicular and secant to the lateral edges. We define the following measures for it.
Lateral surface area.
The lateral surface area of an oblique prism is equal to the product of the perimeter of the straight section and the lateral edge.
total surface area.
The total surface area of an oblique prism is equal to the lateral surface area plus 2 times the base area.
Volume.
The volume of an oblique prism is equal to the product of the area of the base times its height or the product of the area of the cross section times a lateral edge.
Excelente material
Excelente material.
Que programa usa para hacerlo?
Gracias por comentar, uso after effects y premier.
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drive.google.com/drive/folders/1othhP0H9R5ajT9yFfPScvd-M9YkretVz?usp=sharing