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Volume and Surface Area - Important Formulas |Aptitude

  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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