Find the side $ a $ of a pyramid if height $h = 15$ and volume $V = 605$.
Answer
$a = 11$
Explanation
To find side $ a $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 605 $ and $ h = 15 $ we have:
$$ 605 = \dfrac{ a ^{ 2 } \cdot 15 }{ 3 } $$$$ 605 \cdot 3 = a ^{ 2 } \cdot 15 $$$$ 1815 = 15 \cdot a ^{ 2 } $$$$ a ^{ 2 } = \dfrac{ 1815}{ 15 } $$$$ a ^{ 2 } = 121 $$$$ a = \sqrt{ 121 } $$$$ a = 11 $$This page was created using
Pyramid Calculator