Find the volume $ V $ of a triangular prism if side $a = 9$ and length $l = 14$.
Answer
$V = 567 \sqrt{ 3 }$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ \sqrt{ 3 } \cdot a ^{ 2 } \cdot l }{ 2 } $$After substituting $ a = 9 $ and $ l = 14 $ we have:
$$ V =\dfrac{ \sqrt{ 3 } \cdot 9 ^{ 2 } \cdot 14 }{ 2 } $$$$ V = \dfrac{ 81 \sqrt{ 3 } \cdot 14 }{ 2 }$$$$ V = \dfrac{ 1134 \sqrt{ 3 } }{ 2 } $$$$ V = 567 \sqrt{ 3 } $$This page was created using
Triangular Prism Calculator