Find the side $ a $ of a triangular prism if height $h = 5$ and base area $B = 18$.
Answer
$a = 6.4474$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 18 $ we have:
$$ 18 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 18 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 72 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 72 }{ \sqrt{ 3 } } $$ $$ a^2 = 24 \sqrt{ 3 } $$ $$ a = \sqrt{ 24 \sqrt{ 3 } } $$$$ a \approx 6.4474 $$This page was created using
Triangular Prism Calculator