Find the side $ a $ of a triangular prism if height $h = 5$ and base area $B = 6$.
Answer
$a = 3.7224$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 6 $ we have:
$$ 6 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 6 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 24 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 24 }{ \sqrt{ 3 } } $$ $$ a^2 = 8 \sqrt{ 3 } $$ $$ a = \sqrt{ 8 \sqrt{ 3 } } $$$$ a \approx 3.7224 $$This page was created using
Triangular Prism Calculator