Thermal Expansion

Most materials expand when heated. As long as the temperature change isn't too large, each dimension of an object expands according to the equation:

ΔL = LoαΔT

or L = Lo (1+αΔT)

where Lo is the original length.

Volume Expansion

V = Vo [1 + 3αΔT]

V = Vo [1 + βΔT]

where β, the coefficient of volume expansion, is three times larger than α the coefficient of linear expansion.