Find the side $ a $ of a triangular prism if height $h = 15$ and base area $B = 36$.
Answer
$a = 9.118$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 36 $ we have:
$$ 36 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 36 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 144 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 144 }{ \sqrt{ 3 } } $$ $$ a^2 = 48 \sqrt{ 3 } $$ $$ a = \sqrt{ 48 \sqrt{ 3 } } $$$$ a \approx 9.118 $$This page was created using
Triangular Prism Calculator