formulas of mensuration
Answers
Answer:
1. Area of rectangle (A) = length(l) × Breadth(b)
A = l * b
2. Perimeter of a rectangle (P) = 2 × (Length(l) + Breadth(b))
P = 2 (l + b)
3. Area of a square (A) = Length (l) × Length (l)
A = l^2
4. Perimeter of a square (P) = 4 × Length (l)
P = 4l
5. Area of a parallelogram(A) = Length(l) × Height(h)
A = l*h
6. Perimeter of a parallelogram (P) = 2 × (length(l) + Breadth(b))
P = 2 (l + b)
7. Area of a triangle (A) = (Base(b) × Height(b)) / 2
A = 1/2*b*h
And for a triangle with sides measuring “a” , “b” and “c” , Perimeter = a+b+c
And also: Area of triangle = A = square root of s(s-a)(s-b)(s-c)
This formulas is also knows as “Heron’s formula”.
8. Area of trapezium (A) = 1/2(a+b)*h
Where “a” and “b” are the length of parallel sides and “h” is the perpendicular distance between “a” and “b” .
9. Perimeter of a trapezium (P) = sum of all sides
10. Area of rhombus (A) = Product of diagonals / 2
11. Perimeter of a rhombus (P) = 4 × l
where l = length of a side
12. Area of quadrilateral (A) = 1/2 × Diagonal × (Sum of offsets)
quadrilateral
13. Area of a Kite (A) = 1/2 × product of it’s diagonals
14. Perimeter of a Kite (A) = 2 × Sum on non-adjacent sides
15. Circumference of a Circle = 2 \pi r = \pi d
r= radius of circle
d= diameter of circle
16. Total surface area of cuboid = 2 (lb + bh + lh)
where l= length , b=breadth , h=height
17. Total surface area of cuboid = 6 l^2
where l= length
18. length of diagonal of cuboid = \sqrt{l^2+b^2+h^2}
19. length of diagonal of cube = \sqrt{3 l}
20. Volume of cuboid = l × b × h
21. Volume of cube = l × l × l
22. Area of base of a cone = \pi r^2
23. Curved surface area of a cone = C = \pi \times r \times l
Where r = radius of base , l = slanting height of cone
24. Total surface area of a cone = \pi r (r+l)
25. Volume of right circular cone = \frac{1}{3} \pi r^2 h
Where r = radius of base of cone , h= height of the cone (perpendicular to base)
26. Surface area of triangular prism = (P × height) + (2 × area of triangle)
Where p = perimeter of base
27. Surface area of polygonal prism = (Perimeter of base × height ) + (Area of polygonal base × 2)
28. Lateral surface area of prism = Perimeter of base × height
29. Volume of Triangular prism = Area of the triangular base × height
30. Curved surface area of a cylinder = 2 \pi r h
Where r = radius of base, h = height of cylinder
31. Total surface area of a cylinder = 2 \pi r(r + h)
32. Volume of a cylinder = pie r^2 h
33. Surface area of sphere = 4 pie r^2 = pie d^2
where r= radius of sphere, d= diameter of sphere
where , R = radius of cylinder , r= radius of hollow , h = height of cylinder
34.a Surface area of a right square pyramid = a/ 4b^2- a^2
35. Volume of a right square pyramid = ½*b*h
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Answer:
Area of circle - πr²
Area of triangle - x b x h
Area of rectangle - l x b
Area of square - s x s
Area of parallelogram - h x b
Area of rhombus - x (d1 x d2)
Area of trapezium - ()
Area of a general quadrilateral - x AC x (h1 + h2)
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