## Unit: 7

__Mensuration: Prism and Pyramid __

Before starting the discussion about prism and pyramid we have to review the following concept.

**Prism**

A prism is a solid geometrical object whose two ends are similar, equal and parallel rectilinear figures, and whose sides are parallelograms.

**Surface Area and Volume of Triangular Prisms** A triangular prism consists triangular base or cross-section and three rectangular lateral faces.

**Lateral surface area ( L.S.A )**= Perimeter of base × length

= P × L

**Total surface area ( T.S.A )** = 2 × Area of triangular base + L.S.A

**Volume of the prism **= Area of triangular base × length

∴ V = A × L

### Pyramid

A pyramid is a solid having polygonal base and plane triangular faces meeting at a common vertex.

The base of a pyramid may be any polygon, triangle, square, rectangle, hexagon and so on. The length of the perpendicular drawn from the vertex to the base is called vertical height. If the vertical height falls at the centre of the base, the pyramid is known as right pyramid.

**Square based Pyramid **

**Lateral Surface Area ( L.S.A )**= 2al

**Total surface area ( T.S.A )**

= 2al + a²

**Volume**

= 1/3 a²h

## Mensuration: Prism and Pyramid Class 10 Maths Solution PDF

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## Is Class 10 Math Guide Helpful For Student ?

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Student should also try to solve some problems themselves. You can use this note as a reference. You should check all the answers carefully because all the answers may not be correct. There may be some minor mistakes in the note, please consider those mistakes.

## How to secure good marks in Mathematics ?

As, you may know I’m also a student. Being a student is not so easy. You have to study and work hard in 8 different subjects. From my point of view most of the student are weak in mathematics. They face difficulties while solving maths problems. I was also facing the same problem when I was in grade 10.

If you also want to secure good marks in mathematics then you should practise them everyday. You should always start your practise from a simple problems. When you solve some simple problems then it will motivates you to solve some other harder problem. Slowly and gradually increase the difficulty of questions day by day.

Maths is not only about practising. You also needs to be clear about the concept of solving the problems. When you get the concept then you can easily solve maths problems which are in similar formats.

You should make the habit of making side notes. It means you should make notes of formulas, tips of solving that problems and the main concept.

When your teacher tries to make the concept clear by giving some random example then all student tries to remember the same example but you shouldn’t do that. You should try to relate that concept with your daily life and create your own formula of remembering the concepts.

If you give proper time for your practise with proper method of practising then you’ll definitely score a good marks in your Exam. You can also make a time table for your study and read accordingly.

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