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    NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes

    Ncert Solutions for Class 9 Maths Chapter 13 pdf covers the topic of surface areas and volumes class 9 and the formulas to calculate the areas and volumes of Square, Rectangle, Triangle, Circle. To get more in-depth knowledge on surface areas and volumes class 9 refer to  ncert solutions for class 9 maths chapter 13 pdf download

    Area

    The space occupied by a two-dimensional flat surface. It is measure in square units.

    Generally, Area can be of two types

    (i) Total Surface Area

    (ii) Curved Surface Area

    Total Surface Area

    Total surface area refers to area including the base(s) and the curved part.

     Curved surface area (lateral surface area)

    Refers to area of only the curved part excluding it’s base(s).

    Volume

    The amount of space, measured in cubic units, that an object or substance occupies.

    Surface area and volume all formulas

    The Surface area and volume all formulas are given below:

    Areas

    Squaresquare = a2  

    Rectanglerectangle = ab

    parallelogramparallelogram = bh

    trapezoidtrapezoid = h/2 (b1+ b2)

    circlecircle = pir 2

    ellipseellipse = pir1 r2

    Triangle

    • triangle = (1/2) b h
    • equilateral triangle = (1/4)(3) a2
    • triangle given SAS = (1/2) a b sin C
    • triangle given a,b,c = [s(s-a)(s-b)(s-c)] when s = (a+b+c)/2 (Heron’s formula)
    • regular polygon = (1/2) n sin(360°/n) S2
      when n = # of sides and S = length from center to a corner

     Volumes

    Cubecube = a3

    rectangular prism rectangular prism = a b c

    irregular prism irregular prism = bh

    cylindercylinder = bh =  r2 h

    pyramidpyramid = (1/3) bh

    coneCone = (1/3) bh = 1/3  r2 h

    spheresphere = (4/3) r3

    ellipsoidellipsoid = (4/3) pir1 r2 r3

    Surface Areas

    cubecube = 6 a2

    prismprism:
    (lateral area) = perimeter(b) L
    (total area) = perimeter(b) L + 2b

    spheresphere = 4 r2

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