Quantitative aptitude formulas ( VOLUME AND SURFACE AREA )

I. CUBIOD

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)

II. 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.

III. 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.

IV. CONE

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

1. Slant height, l = √h² + r ² units.

2. Volume = [1/3 Πr²h] cubic units.

3. Total surface area = (Πrl + Πr²) sq.units.

V. SPHERE

Let the radius of the sphere be r. Then,

1. Volume = [4/3 Πr3] cubic units.

2. Surface area = (4Πr²) sq. units.

VI. HEMISPHERE

Let the radius of a hemisphere be r. Then,

1. Volume = [2/3 Πr3] cubic units.

2. Curved surface area = (3Πr²) sq. units.

3. Total surface area = (3Πr²) sq. units.

Remember : 1 litre = 1000 cm³.