# Prism Formula

## Prism Formula

Mathematics is a highly important subject for students who are in their 6th standard. These students have just started middle school and these students are being introduced to a new kind of academic adroitness. Mathematics is among the few subjects which is a stand-alone subject instead of being an integrated one. Although, students from their 6th standard are introduced to various complicated ideas. Different branches of Mathematics are now included in Mathematics as a subject. Students learn for the first time about Statistics, Algebra, Graphs etc. thus while resources on the Prism Formula were being produced it made sure that it attends to the students in the best way that was required. Students generally find Mathematics challenging but with the emergence of the resources on the Prism Formula, it has become easier for students.

Students generally find Mathematics difficult, according to teachers. The requirements placed on students are the underlying cause of this. The subject is not something that can be quickly mastered. Regular problem-solving practice and review of previously answered sums are required of the students. It is challenging for Class 6 students to demonstrate such dexterity. These students are getting used to the syllabus and the unique question-paper format. The Prism Formula resources aid students in becoming familiar with the paper pattern.

### Prism Formula

A prism is solid with several plane faces that define its perimeter; two of these faces, known as the ends, are congruent parallel plane polygons, and the other two, known as the side faces, are parallelograms. Prism theory has applications in both Science and Mathematics.

What is Prism?

A prism is a polyhedron in Mathematics that has two parallel polygonal bases. A prism is an optical element that is transparent and has flat, polished surfaces that refracts light in Physics (Optics). The two polygonal bases are joined by lateral faces. Most of the lateral faces are rectangular. Sometimes, it might even be a parallelogram.

### Properties of Prism

There are various properties of the Prism Formula

• The top and bottom are congruent and parallel.
• Except for the base and top, every face is a parallelogram. These are referred to as Lateral faces.
• Every lateral face shares one edge with both the base and the top.
• The common edge of the two adjacent side faces determines the prism’s height.

### Types of Prism

There can be various types of prisms which have been discussed extensively in the reference materials provided by the Extramarks website.

#### Rectangular Prism

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism’s faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is also referred to as a cuboid because of its shape. A rectangular Prism Formula can be found in everyday objects like geometry boxes, notebooks, diaries, and rooms.

#### Triangular Prism

A polyhedron with two triangular bases and three rectangular sides is referred to as a triangular prism. It is a three-dimensional shape with two base faces, three side faces, and connections between them at the edges. It is referred to as a right triangular Prism Formula if the sides are rectangular; otherwise, it is referred to as an oblique triangular prism. A uniform or regular triangular prism is one that has square sides and equilateral bases. The two bases in this prism are parallel and congruent to one another, just like in other prisms. It has 5 faces, 6 vertices, and 9 edges altogether.

#### Pentagonal Prism

A pentagonal prism is a Prism Formula with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular type of heptahedron. A pentagonal Prism Formula can have five sides due to its pentagonal bases. A five-sided polygon prism is another name for a pentagonal prism.

Students must remember that the prism shape is a solid figure with a uniform cross-section and two common bases in Mathematics. It is a three-dimensional box.

• Face: A three-dimensional object’s flat side
• Base: One of an object’s two parallel and congruent sides.
• Edge: The point where two faces of a solid object intersect. The line is this.
• Vertex: The point where two edge sides join.

#### Hexagonal Prism

A hexagonal prism is a 3D Prism Formula with two bases that are identically sized and shaped with parallel ends. The six faces, or sides, of the hexagonal prism, are parallelogram-shaped. A hexagonal prism is a Prism Formula with two hexagonal bases and six rectangle-shaped faces, according to the definition. Regular and irregular hexagonal prisms are two different varieties of hexagonal prisms. A regular hexagonal prism is a Prism Formula with bases in the form of a hexagon and equal-length sides.

### Solved Examples Using Prism Formula

Mathematics is typically difficult for students, but with the information on the Prism Formula available, it is now simpler for them. Teachers have noticed a pattern in which all of the students find Mathematics a challenging and complex subject. The requirements that students must fulfil are the cause of this. A subject cannot be mastered in a short amount of time. Regular practice of the problems and review of the concepts already learned are required of the students. Students find it challenging to display this level of dexterity. These students are getting used to the revised curriculum and format of the exams. Students can familiarise themselves with the question paper pattern with the aid of the Prism Formula reference materials.

## 1. In addition to the Prism Formula, what other resources are available on the Extramarks website?

The Extramarks website has numerous helpful resources for students. Live lectures by eminent lecturers are the best of them.

1. Interactive video lectures from renowned educators.
2. NCERT solutions
3. A number of tests and quizzes with in-depth answers.
4. Live chat options
5. Specially created doubt-solving sessions.
6. Results of the tests and thorough performance analysis.

## 2. In which subjects will the Prism Formula be used?

Prism Formula can be used in Mathematics as well as Physics.