# Question #667fd

Jun 13, 2017

$\text{Amount of linear expansion of the building :} 3.3 \cdot {10}^{- 3} m$

#### Explanation:

$\text{The increase in the temperature of the steel building causes its}$ $\text{extension. Amount of expansion is directly proportional to;}$

• the length of the building.
• the amount of temperature change.
• the coefficient of linear expansion of the steel.

$\text{We can write the equation in the following way.}$

$\Delta l = {L}_{i} \cdot \lambda \cdot \Delta t$

$\text{Where ;}$

$\Delta l : \text{amount of linear expansion}$
${l}_{i} : \text{initial length}$
$\Delta t : \text{change of temperature}$
$\lambda : \text{coefficient of linear expansion}$

$\Delta l = 15 \cdot 11 \cdot {10}^{- 6} \cdot 20$
$\Delta l = 3300 \cdot {10}^{- 6}$
$\Delta l = 3.3 \cdot {10}^{- 3} m$