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Aptitude - Volume and Surface Area

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  • Important Formulas

Exercise

"No one is as deaf as the man who will not listen."
- (Proverb)
  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 + b2 + 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 = 3a units.

  3. CYLINDER

    Let radius of base = r and Height (or length) = h. Then,

    1. Volume = (r2h) cubic units.

    2. Curved surface area = (2rh) sq. units.

    3. Total surface area = 2r(h + r) sq. units.

  4. CONE

    Let radius of base = r and Height = h. Then,

    1. Slant height, l = h2 + r2 units.

    2. Volume = r2h cubic units.

    3. Curved surface area = (rl) sq. units.

    4. Total surface area = (rl + r2) sq. units.

  5. SPHERE

    Let the radius of the sphere be r. Then,

    1. Volume = r3 cubic units.

    2. Surface area = (4r2) sq. units.

  6. HEMISPHERE

    Let the radius of a hemisphere be r. Then,

    1. Volume = r3 cubic units.

    2. Curved surface area = (2r2) sq. units.

    3. Total surface area = (3r2) sq. units.

      Note: 1 litre = 1000 cm3.



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