Mensuration Formulas

 Mensuration Formulas


Mensuration Formulas for 2-Dimensional Figures
ShapeAreaPerimeter 
Circleπr²2 π r
Square(side)²4 × side
Rectanglelength × breadth2 (length + breadth)
Scalene Triangle

√[s(s−a)(s−b)(s−c),

Where, s = (a+b+c)/2

a+b+c (sum of sides)
Isosceles Triangle½ × base × height2a + b (sum of sides)
Equilateral Triangle(√3/4) × (side)²3 × side
Right Angled Triangle½ × base × hypotenuseA + B + hypotenuse, where the hypotenuse is √A²+B²
Parallelogrambase × height2(l+b)
Rhombus½ × diagonal1 × diagonal24 × side
Trapezium½ h(sum of parallel sides)a+b+c+d (sum of all sides)

Mensuration Formulas for 3-D Figures

Under 3-D Figures, we can calculate the total surface area which is equal to curved surface area+ area of top and bottom. Curved surface area is also known as lateral surface area, and is measured in square units. Total surface area is also measured in square units whereas volume is measured in cubic units. So, find out the mensuration formulas for 3-D figures such as cone, cylinder, cube, cuboid, sphere, etc.

Mensuration Formulas for 3-Dimensional Figures
ShapeAreaCurved Surface Area (CSA)/ 
Lateral Surface Area (LSA)
Total Surface Area (TSA)
Cone(1/3) π r² hπ r lπr (r + l)
Cube(side)³ 4 (side)²6 (side)²
Cuboidlength × breadth × height2 height (length + breadth)2 (lb +bh +hl)
Cylinderπ r² h2π r h2πrh + 2πr²
Hemisphere(2/3) π r³2 π r²3 π r²
Sphere4/3πr³4πr²4πr²

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