Geometry is one of the most ancient branches of mathematics which is used in everyday life. It is taught to every student in their primary and secondary classes. It is one of the most important branches of architecture. For architects, geometry is a basic requirement. Geometry gives detailed information basically about the drawing, shapes, and sizes of different objects. The area, the perimeter of the objects, and many other things. It discusses different shapes which we see in everyday life like squares, rectangles and also about shapes which we frequently hear about like pyramids and triangular prism, etc.
This article deals with different types of shapes which we observe in everyday life:
First of all, let’s discuss what prism is.
A prism is an object which has two ends that are identical in nature, faces which are flat, and that have the same cross-section area all along its length. The shapes at the ends of the prism give it a name such as a triangular prism, square prism, or pentagonal prism.
A prism may be a solid object which has two same ends, faces which are flat, which have an equivalent cross-section right along its length. It is a polyhedron with three sides which are rectangular in shape and two sides that are triangular in shape on either side that are parallel and congruent in nature to each other.
A triangular prism is a type of prism with a cross-sectional that are bases in the shape of a triangle i.e. two bases that are triangular in shape and three sides that are rectangular in shape.
- The height of a triangular prism is equal to the perpendicular distance between the parallel centers of the two bases. The rectangular sides of the base assist connect the vertices and edges of the prism’s base to each other, and the rectangular sides of the base are connected to each other one to another.
- A right triangular prism is one that has two triangular faces that are parallel and congruent. The right triangular prism has three rectangular faces that are perpendicular to the triangular faces. Because prisms are not limited to triangles, the rectangular sides are said to be either in the shape of a rectangle. The right triangular prism has six vertices, nine edges, and five faces.
Listed below are some of the properties of triangular prism which we observe in everyday life:
1. It consists of exactly 5 faces, the edges are nine in number, and six vertices in the triangular prism.
2. It is a polyhedron with exactly three faces that are rectangular and two faces that are triangular.
3. Two bases are congruent in nature and they will never meet each other.
4. Any cross-section of this prism is triangular in shape.
The volume of the triangular prism is the product of base, height, and length which is divided by two.
Let’s discuss some basic rectangular prisms.
A rectangular prism may be a three-dimensional object with six faces, all of them are rectangles (top, bottom, and lateral faces) with every two sides of the opposite faces being identical. A rectangular prism, like other three-dimensional shapes, has volume and surface area. The name which rectangular prism is also known as is cuboid.
Listed below are some of the basic properties of rectangular prism
1. The faces of the rectangular prism are six in number, vertices are eight and edges are twelve of a rectangular prism.
2. The top and base of this prism will always be rectangular.
3. The congruency in the opposite faces of the prism can be observed.
The volume of the rectangular prism or cuboid is equal to l*w*h where l is the length,w is the width and h is the height of the rectangular prism.
This was some necessary information about triangular and rectangular prisms. If one has any doubts and questions regarding mathematics, these doubts can be cleared with a help website known as cuemath. This website has really influenced lots of students.
