Find the side $ a $ of a pyramid if height $h = 9.3$ and volume $V = 198.4$.
Answer
$a = 8$
Explanation
To find side $ a $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 198.4 $ and $ h = 9.3 $ we have:
$$ 198.4 = \dfrac{ a ^{ 2 } \cdot 9.3 }{ 3 } $$$$ 198.4 \cdot 3 = a ^{ 2 } \cdot 9.3 $$$$ 595.2 = 9.3 \cdot a ^{ 2 } $$$$ a ^{ 2 } = \dfrac{ 595.2}{ 9.3 } $$$$ a ^{ 2 } = 64 $$$$ a = \sqrt{ 64 } $$$$ a = 8 $$This page was created using
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