Find the height $ h $ of a pyramid if side $a = 210$ and volume $V = 2592100$.
Answer
$h = \frac{ 529 }{ 3 }$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 2592100 $ and $ a = 210 $ we have:
$$ 2592100 = \dfrac{ 210 ^{ 2 } \cdot h }{ 3 } $$$$ 2592100 \cdot 3 = 210 ^{ 2 } \cdot h $$$$ 7776300 = 44100 \cdot h $$$$ h = \dfrac{ 7776300 }{ 44100 } $$$$ h = \frac{ 529 }{ 3 } $$This page was created using
Pyramid Calculator