# Thermal Expansion of Solids

## Thermal Expansion of Solids Formulas

\(\large{ \Delta l = \alpha \; l_i \; \Delta T }\) | (linear expansion) |

\(\large{ \Delta A = 2\; \alpha \; A_i \; \Delta T }\) | (aerial or superficial expansion) |

\(\large{ \Delta V = 3\; \alpha \; V_i \; \Delta T }\) | (volumetric or cubical expansion) |

### Where:

\(\large{ \Delta l }\) = length differential

\(\large{ \Delta A }\) = area differential

\(\large{ \Delta V }\) = volume differential

\(\large{ A_i }\) = initial area of object

\(\large{ l_i }\) = initial length

\(\large{ V_i }\) = initial volume of object

\(\large{ \alpha }\) (Greek symbol alpha) = linear thermal expansion coefficient

\(\large{ \Delta T }\) = temperature differential

Tags: Equations for Thermal