Find the height $ h $ of a pyramid if side $a = 11$ and volume $V = 1452$.
Answer
$h = 36$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 1452 $ and $ a = 11 $ we have:
$$ 1452 = \dfrac{ 11 ^{ 2 } \cdot h }{ 3 } $$$$ 1452 \cdot 3 = 11 ^{ 2 } \cdot h $$$$ 4356 = 121 \cdot h $$$$ h = \dfrac{ 4356 }{ 121 } $$$$ h = 36 $$This page was created using
Pyramid Calculator