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Volume and Surface Area Questions Answers Formulas, Tips and Tricks

  • 1. Formula of Cuboid Volume, Surface Area and Daigonal


    Let l be length, b be breadth and height = h units then,

    Volume of Cuboid =(lbh)cubic unitsSurface Area=2(lb+bh+hl)sq. unitsDiagonal =l2+b2+h2units

  • 2. Formula of Cube Volume, Surface Area and Diagonal


    Let each edge of a cube be of length a, then
    Volume of cube =a3Surface Area of cube =6a2sq.unitsDiagonal of cube =3aunits

  • 3. Cylinder Volume, Curved Surface Area, Total Surface Area Formula


    Volume of cylinder =(πr2h)cubic unitsCurved surface area of cylinder =(2πrh)sq. unitsTotal surface area of cylinder =(2πrh+2πr2)sq. units=2πr(h+r)sq. units

  • 4. Cone Slant Height, Volume, Curved Surface Area, Total Surface Area Formula


    Let Radius of base = r and height = h. Then,
    Slant Height of cone, l = r2+h2unitsVolume of cone = (13πr2h)cubic unitsCurved surface area of cone = (πrl)sq. unitsTotal surface area of cone = (πrl+πr2)sq. units

  • 5. Sphere Volume and Surface Area Formula


    Let the radius of the sphere be r, then,

    Volume=(43πr3)cubic unitsSurfaceArea=(4πr2)sq. units

  • 6. Hemisphere Volume, Curved Surface Area and Total Surface Area Formula


    Let the radius of a hemisphere be r, Then,
    Volume of Hemisphere =(23πr3)cubic unitsCurved Surface area of Hemisphere =(2πr2)sq. unitsTotal Surface area of Hemisphere =(3πr2)sq. unitsPlease remember 1 litre = 1000cm3