Category: Mensuration

The base and top surface of Right Prism are of the same shape and size. It is called a “right” angle prism due to the angles between the base and sides are right angles.

If N is number of sides of base then

Number of Vertices:- 2N

Number of Faces:- N+2

Lateral Surface Area:- Perimeter of Base x Height

Total Surface Area:- Lateral Surface Area + 2xBase Area (as base and top are Identical)

Volume:- Area of Base x Height

Rhombus is a quadrilateral whose all sides have the same length and opposite sides are parallel. In other words we can say that It is a parallelogram whose all sides are equal.

Diagonals of a Rhombus bisect each other at 90°
Diagonals are Angle bisector too.

Area of Rhombus:-
1/2(D1×D2)  – Here D1 and D2 are Diagonals

Side of Rhombus from Diagonals:-
a = 1/2√(dia² + dia²)  – Here Dia are diagonal-1 and diagonal-2

Perimeter:-
P = 4a

When we cut Sphere in 2 equal parts then we will get 2 Hemisphere
Volume Of Hemisphere:-
V= 2/3πr³ Cubic units

Curved Surface Area:-
2πr² Square Units

Total Surface Area:-
3πr² Square Units

A sphere is a perfectly round object. Sphere is a three-dimensional object. You can compare it cricket or tennis ball for general life example.
Volume Of Sphere:-
V = 4/3πr³

Surface Area Of Sphere:-
4πr²

Trapezium is a quadrilateral which has 4 vertices and 4 sides enclosing 4 angles. The sum of its interior angles is 360 degrees.
In trapezium one pair of opposite sides are parallel
Area:-
1/2(Sum of Parallel Side)*Perpendicular Distance between them
Perimeter:-
Sum of all sides

Properties Of Square:-
1. All Sides are Equal
2. All four Angles are equal and 90° each
3. Diagonals are equal & bisect each other at 90°
Perimeter (P) = 4a
Area:- a² or (d²)/2 or (P²)/16
Here a – side of square
d – diagonal of square
P – perimeter
Diagonal(d) = a√2 or P/2√2

All Important formula’s of 2-Dimensionals Figures for SSC Exam:-
We need to find out Area & Perimeter
Rectangle:-
Area:- a*b
Perimeter:- 2(a+b)

Square:-
Area:- a*a
Perimeter:- 4a

Right Angle Triangle:-
(Base)^2 + (altitude)^2 = (Hypotenuse)^2
Perimeter:- b+h+a
Area:- 1/2ab

For all triangles:-
Perimeter:- a+b+c (Where a,b,c are sides of triangle)
s=1/2(a+b+c) = (Semi Perimeter)
Area:- √s(s-a)(s-b)(s-c) – Hero’s Formula