Find the side $ a $ of a pyramid if height $h = 50$ and volume $V = 15000$.
Answer
$a = 30$
Explanation
To find side $ a $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 15000 $ and $ h = 50 $ we have:
$$ 15000 = \dfrac{ a ^{ 2 } \cdot 50 }{ 3 } $$$$ 15000 \cdot 3 = a ^{ 2 } \cdot 50 $$$$ 45000 = 50 \cdot a ^{ 2 } $$$$ a ^{ 2 } = \dfrac{ 45000}{ 50 } $$$$ a ^{ 2 } = 900 $$$$ a = \sqrt{ 900 } $$$$ a = 30 $$This page was created using
Pyramid Calculator