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Home->Aptitude->Volume and Surface Area -> Important Formulas

Volume and Surface Area :-

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IMPORTANT EXAMPLES
::Important Formulas

Here Some Basic Formulas/Rules Are given below :-

  1. CUBOID
    Let length = l, breadth = b and height = h units. Then,
    1. Volume = (l x b x h) cubic units.
    2. Surface area = 2 (lb + bh + lh) sq. units.
    3. Diagonal = √l2 X b2 X h2 units,

  2. CUBE
    Let each edge of a cube be of length a, Then,
    1. Volume = a3 cubic units.
    2. Surface area = 6a2 sq. units.
    3. Diagonal = √3 a units,

  3. CYLINDER Let radius of base = r and Height (or length) = h. Then,
    1. Volume = (πr2h) cubic units.
    2. Curved surface area = = (2πrh) sq. units.
    3. Total surface area = (2πrh + 2πr2) sq. units = 2πr (h + r) sq. units.

  4. CONE Let radius of base = r and Height = h. Then,
    1. Slant height l = √h2 + r2 units,
    2. Volume = (1/3 πr2h) cubic units.
    3. Curved surface area = (πrl) sq. units.
    4. Total surface area = (πrl + πr2) sq. units.

  5. SPHERE Let the radius of the sphere be r. Then,
    1. Volume = (4/3 πr3h) cubic units.
    2. Surface area = = (4πr2) sq. units.

  6. HEMISPHERE Let the radius of a hemisphere be r Then,
    1. Volume = (2/3 πr3) cubic units.
    2. Curved surface area = (2πr2) sq. units.
    3. Total surface area = (3πr2) sq. units.
        Remember : 1 litre = 1000 cm3.


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