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