Volume and Surface Area

Volume And Surface Area Formula – Aptitude Formula

Aptitude Formula

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 =131

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 = 132
  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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