Find the lateral area $ LA $ of a triangular prism if length $l = 9.95$ and height $h = 6.1$.
Answer
$AL = 210.2536$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ h = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$After substituting $ h = 6.1 $ we have:
$$ 6.1 = \dfrac{ \sqrt{ 3 } \cdot a }{ 2 } $$ $$ \sqrt{ 3 } \cdot a = 6.1 \cdot 2 $$ $$ \sqrt{ 3 } \cdot a = 12.2 $$ $$ a = \dfrac{ 12.2 }{ \sqrt{ 3 } } $$ $$ a \approx 7.0437 $$STEP 2: find lateral $ AL $
To find lateral $ AL $ use formula:
$$ AL = 3 \cdot a \cdot l $$After substituting $ a = 7.0437 $ and $ l = 9.95 $ we have:
$$ AL = 21.131 \cdot 9.95 $$$$ AL = 210.2536 $$This page was created using
Triangular Prism Calculator