Question
Find the slant height $ s $ of a pyramid if side $a = 52.2\, \text{cm}$ and lateral surface $L = 3831.48\, \text{cm}$.
Answer
$36.7$
Explanation
To find slant height $ s $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $L = 3831.48\, \text{cm}$ and $a = 52.2\, \text{cm}$ we have:
$$ 3831.48\, \text{cm} = 2 \cdot 52.2\, \text{cm} \cdot s $$$$ 3831.48\, \text{cm} = 104.4\, \text{cm} \cdot s $$$$ s = \dfrac{ 3831.48\, \text{cm} }{ 104.4\, \text{cm} } $$$$ s = 36.7 $$This page was created using
Pyramid Calculator