Find the area $ A $ of a triangular prism if side $a = 12$ and length $l = 22$.
Answer
$A = 916.7077$
Explanation
To find area $ A $ use formula:
$$ A = \frac{ a^2 \sqrt{3}}{2} + 3 a l $$After substituting $ a = 12 $ and $ l = 22 $ we have:
$$ A = \frac{ 12^2 \sqrt{3}}{2} + 3 \cdot 12 \cdot 22 $$$$ A = \frac{ 144 \sqrt{3}}{2} + 3 \cdot 264 $$$$ A = \frac{ 144 \sqrt{ 3 }}{2} + 792 $$$$ A = 72 \sqrt{ 3 } + 792 $$$$ A = 916.7077 $$This page was created using
Triangular Prism Calculator