Question
Find the height $ h $ of a pyramid if side $a = 9\, \text{cm}$ and volume $V = 135\, \text{cm}$.
Answer
$5\, \text{cm}^-1$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $V = 135\, \text{cm}$ and $a = 9\, \text{cm}$ we have:
$$ 135\, \text{cm} = \dfrac{ 9\, \text{cm} ^{ 2 } \cdot h }{ 3 } $$$$ 135\, \text{cm} \cdot 3 = 9\, \text{cm} ^{ 2 } \cdot h $$$$ 405\, \text{cm} = 81\, \text{cm}^2 \cdot h $$$$ h = \dfrac{ 405\, \text{cm} }{ 81\, \text{cm}^2 } $$$$ h = 5\, \text{cm}^-1 $$This page was created using
Pyramid Calculator