Find the area $ A $ of a triangular prism if side $a = 10$ and length $l = 30$.
Answer
$A = 986.6025$
Explanation
To find area $ A $ use formula:
$$ A = \frac{ a^2 \sqrt{3}}{2} + 3 a l $$After substituting $ a = 10 $ and $ l = 30 $ we have:
$$ A = \frac{ 10^2 \sqrt{3}}{2} + 3 \cdot 10 \cdot 30 $$$$ A = \frac{ 100 \sqrt{3}}{2} + 3 \cdot 300 $$$$ A = \frac{ 100 \sqrt{ 3 }}{2} + 900 $$$$ A = 50 \sqrt{ 3 } + 900 $$$$ A = 986.6025 $$This page was created using
Triangular Prism Calculator