The three rectangular sides play the role of the connectors by joining the vertices and edges of the bases with each other. Besides joining the edges and vertices of the bases, the rectangular sides of this prism are joint with each other also side by side.
All the cross-sections parallel to the base faces appear as triangles. Another noticeable point about this prism is that the two triangular bases present in it are often equilateral triangles. In the case of a right triangular prism, the sides are either in the rectangular shape or else can be oblique. In general, prisms are not limited to just triangular prisms.
Rather, these three-dimensional shapes composed of at least three flat surfaces are available in various types. For instance, while studying maths and physics, we often come across Rectangular Prism, Polygonal Prisms, etc. Note that cubes and cuboids that we study in geometry can also be considered as prisms.
Triangular prisms can also be classified based on the type of triangle that forms its base. A regular prism is defined by a prism whose bases are regular polygons. Therefore, if the bases of the triangular prism are equilateral triangles , it is a regular triangular prism.
Otherwise it is irregular. Often, a regular triangular prism is implied to be a right triangular prism. Observe the following figure to see a triangular prism in which L represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.
The properties of a triangular prism help us to identify it easily. Listed below are a few properties of a triangular prism:. The net of a triangular prism is a pattern that is seen when the surface of the prism is opened, flattened, and laid out such that all the faces are seen clearly. This net can be folded up to make a triangular prism. It shows that the bases of the prism are shaped in a triangle and the lateral faces are shaped like a rectangle.
The figure given below shows the net of a triangular prism where the triangles and the rectangles are seen clearly. The surface area of a triangular prism is the area that is occupied by its surface.
It is the sum of the areas of all the faces of the prism. Hence, the formula to calculate the surface area is:. For more information on the surface area formula and calculations, check the article on the surface area of a triangular prism.
The volume of a triangular prism is the product of its triangular base area and the length of the prism. As we already know that the triangular prism base is in the shape of a triangle, the area of the base will be the same as that of a triangle.
A right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces. In other words, both the triangles of a right triangular prism are right-angled, therefore, the triangular faces are perpendicular to the lateral rectangular faces.
Wolfram Education Portal » Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. Wolfram Language » Knowledge-based programming for everyone. Terms of Use. Volume of Triangular Prisms. Triangular Prism. Mathematica » The 1 tool for creating Demonstrations and anything technical.
0コメント