Find the side $ a $ of a triangular prism if height $h = 8$ and base area $B = 40$.
Answer
$a = 9.6112$
Explanation
To find side $ a $ use formula:
$$ B = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$After substituting $ B = 40 $ we have:
$$ 40 = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 }$$ $$ 40 \cdot 4 = \sqrt{ 3 } \cdot a^2 $$ $$ 160 = \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 160 }{ \sqrt{ 3 } } $$ $$ a^2 = \frac{ 160 \sqrt{ 3}}{ 3 } $$ $$ a = \sqrt{ \frac{ 160 \sqrt{ 3}}{ 3 } } $$$$ a \approx 9.6112 $$This page was created using
Triangular Prism Calculator