Find the side $ a $ of a triangular prism if height $h = 14$ and volume $V = 770$.
Answer
$a = \frac{ 28 \sqrt{ 3}}{ 3 }$
Explanation
To find side $ a $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ h = 14 $ we have:
$$ 14 = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = 14 \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = 28 $$ $$ a = \dfrac{ 28 }{ \sqrt{ 3 } } $$ $$ a = \frac{ 28 \sqrt{ 3}}{ 3 } $$This page was created using
Triangular Prism Calculator