In Mensuration, it is essential to be well versed with the formulae of the geometrical figures.  Candidates can face questions related to the same in the Quantitative Aptitude section of their upcoming competitive examination. 

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Take a quick look at the important formulae for volumes and areas.

Square:

Area = S²

Perimeter = 4s

s = length of the sides, d = length of diagonal.

Triangle

Area = ½ x base x height

Perimeter = x + y + z ( summation of three sides of a triangle)

Rectangle

Area = base x height = b x h

Perimeter = 2 (b + h)

Rhombus

Area = ½ x product of the diagonals between the sides * sine of the angle between the sides

Perimeter = 4 x side (any side)

Diagonal = 2 x area / diagonal

Trapezium

Area = ½ × sum of the parallel sides × height.

Parallelogram

Area = product of any two sides x sine of the included angle

Perimeter = 2 (a + b) (a and b are the two adjacent sides)

Volumes of various solids:

Cube

In a cube, length = breadth = height = s

The surface area of a cube = 6s²

The volume of a cube = S³

Diagonal of a cube = √3 s

Cylinder

The curved surface area of a cylinder: 2 πrh( r = radius of the base, h = height)

The total surface area of a right circular cylinder = 2 πrh + 2 πr²

The volume of the right circular cylinder: πr²h

Sphere

The surface area of a sphere: 4 πr²

The volume of a sphere: 4/3 πr³

A half-sphere is known as a hemisphere.

Cone

The curved surface area of a cone: pirl (l is the slant height)

The total surface area of a cone: πrl + πr²

The volume of a cone: 1/3 πr²h

Cuboid

Total surface area of a cuboid: 2 (lb + bh + lh)

The volume of a cuboid: lbh

 Hemisphere

The curved surface area of a hemisphere: 3 πr2

The total surface area of a hemisphere: 3 πr2

The volume of a hemisphere: 2/3 πr3