Arithmatical - Volume and Surface Areas

Important Facts and Formulae
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 = (2∏rh) sq. units.

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

4.

Sphere :

Let the radius of the sphere be r. Then,

1. Volume = (4 / 3 ∏r3) cubic units.

2. Surface area = (4∏r2) sq. units.

5.

Hemisphere :

Let the radius of a hemisphere be r. Then,

1. Volume = (2 / 3 ∏r3) cubic units.

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

3. Total surface area = 3∏r2 sq. units.