Volume And Surface Area - Aptitude Concepts (Important Facts And Formulae)

IMPORTANT FORMULAE

I. CUBOID

Let length = 1, breadth = b and height = h units. Then,

1. Volume = (1 x b x h) cubic units.

2. Surface area= 2(lb + bh + lh) sq.units.

3. Diagonal.=l^2 +b^2 +h^2 units

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 = (pi r^2h) cubic units.

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

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

IV. CONE

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

1. Slant height, l = h^2+r^2

2. Volume = (1/3) pi*r2h cubic units.

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

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

V. SPHERE

Let the radius of the sphere be r. Then,

1. Volume = (4/3)pi*r3 cubic units.

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


VI. HEMISPHERE

Let the radius of a hemisphere be r. Then,

1. Volume = (2/3)pi*r3 cubic units.

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

3. Total surface area = (3pi*r2) units.

    Remember: 1 litre = 1000 cm3.

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