**Linear Thermal Expansion of Solids:** When the temperature of a solid changed ΔT, the change of its length ΔL is very nearly proportional to its
initial length multiplied by ΔT. The Linear Expansion equation is:

** ΔL = αL**_{0}ΔT
Where:

α: the Coefficient of linear expansion

L

_{0}: Initial length of the object

ΔL: Length change of the object

ΔT: Temperature change of the object

**Area Thermal Expansion:** When the temperature of a surface changed ΔT, the change of its area ΔA is very nearly proportional
to its initial area multiplied by ΔT. The Area Expansion equation is:

** ΔA = γA**_{0}ΔT
Where:

γ: the Coefficient of Area expansion

A

_{0}: Initial area of the object

ΔA: Area change of the object

ΔT: Temperature change of the object

**Volume Thermal Expansion:** When the temperature of a volume changed ΔT, the change of its volume ΔV is very nearly proportional
to its initial volume multiplied by ΔT. The Volume Expansion equation is:

** ΔV = βV**_{0}ΔT
Where:

β: the Coefficient of volume expansion

V

_{0}: Initial volume of the object

ΔV: Volume change of the object

ΔT: Temperature change of the object