You must have seen the questions of mensuration in SSC, Bank, Railway, and other exams. Do you remember mensuration formulas?
Mensuration maths is an important topic of maths, in which 2D and 3D shapes are seen, these shapes are the things around us like a ball is of sphere shape, a table is a rectangle, circle, or square shape.
2D shapes such as square, rectangle, have to measure their area, perimeter, length while in 3D shapes such as a cube, cuboid, cone, cylinder, Sphere their area, perimeter as well as volume have to be measured.
In this post, I have shared with you the list of mensuration formulas 2D and 3D.
You can also download the mensuration formulas list pdf.
2D Mensuration Formulas
Square has 4 sides. All Sides are equal.
Perimeter (परिमाप) of Square 4a = 4 x side
Area of Square = A2 = Side2
Diagonal (विकर्ण) = √ 2 x side
Rectangle has 2 length and 2 breath
Perimeter (परिमाप) of rectangle= 2 (Length+ Breath)
Area of rectangle= Length x Breath
Diagonal (विकर्ण) = 2√length2 + Breath2
All sides are equal but not angles.
Diagonals intersect each other and make an angle of 900.
Perimeter (परिमाप) of Rhombus= 4 x side
Area of Rhombus= 1/2 x d1 xd2
Parallelogram (समान्तर चतुर्भुज)
Perimeter (परिमाप) of parallelogram= 2 (Length+ Breath)
Area of parallelogram= Base x Height
Right Angle Triangle (समकोण)
Area of Triangle= 1/2x base x height
Perimeter (परिमाप) of Triangle= Perpendicular + Base + Hypotenuse (P+B+H)
Perpendicular2 + Base2 = Hypotenuse2
Equilateral Triangle (समभुज त्रिकोण)
All sides are equal
Perimeter (परिमाप) of triangle = 3 x Side
Area of triangle = √ 3/4 x Side2
Height of Triangle = √ 3/2 Side
Isosceles Triangle (समद्विबाहु)
Any of 2 sides are equal and their angles are also equal.
Area of Triangle= 1/2 x Base x Height
Area of Triangle= b √4side2 – b2/4
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6 faces, 12 Edges and 8 vertices. All sides are equal.
Diagonal (विकर्ण) = √3 x Side
CSA (वक्रप़ष्ठ) of Cube= 6side2
Volume (आयतन) of Cube= Side3
Opposite sides are equal.
Diagonal (विकर्ण) = 2√ length2 + breath2 + height2
CSA (वक्रप़ष्ठ) of cuboid= 2 (lb+bh+hl)
Volume (आयतन) of cuboid= length x breath x height (lbh)
CSA (वक्रप़ष्ठ) of cylinder= 2x π radius x height (2πrh)
TSA (संपूर्ण प़ष्ठ) of Cylinder= 2 π r (height + radius) (2πr (h+r)
Volume (आयतन) of cylinder= π radius2 x height (πr2h)
CSA (वक्रप़ष्ठ) of cone= π x radius x slant height (πrl)
TSA (संपूर्ण प़ष्ठ) of cone= π x radius (slant height x radius) πr (l+s)
Volume of (आयतन) cone= 1/3 π x radius2 x height (1/3 πr2h)
CSA/TSA of Sphere= 4 π x radius2 (4πr2)
Volume (आयतन) of Sphere= 4/3 π x radius3 (4/3 πr3)
CSA (वक्रप़ष्ठ) of Hemisphere= 2π x radius2 (2πr2)
TSA (संपूर्ण प़ष्ठ) of Hemisphere= 3π x radius2 (3πr2)
Volume (आयतन) of Hemisphere= 2/3 π x radius3 (2/3 πr3)
Regular Tetrahedron (समचतुष्फलक)
Height= √2/√3 x side
LSA/CSA (वक्रप़ष्ठ) of Tetrahadron= 3 x √3/4 x side2
TSA (संपूर्ण प़ष्ठ) of Tetrahadron= √3 x side2
Volume (आयतन) of Tetrahadron= side3/6√2
Here you can download Mensuration Formulas in Pdf
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