Find the volume $ V $ of a triangular prism if side $a = 8$ and length $l = 12$.
Answer
$V = 384 \sqrt{ 3 }$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ \sqrt{ 3 } \cdot a ^{ 2 } \cdot l }{ 2 } $$After substituting $ a = 8 $ and $ l = 12 $ we have:
$$ V =\dfrac{ \sqrt{ 3 } \cdot 8 ^{ 2 } \cdot 12 }{ 2 } $$$$ V = \dfrac{ 64 \sqrt{ 3 } \cdot 12 }{ 2 }$$$$ V = \dfrac{ 768 \sqrt{ 3 } }{ 2 } $$$$ V = 384 \sqrt{ 3 } $$This page was created using
Triangular Prism Calculator