Find the area $ A $ of a triangular prism if side $a = 4$ and length $l = 7$.
Answer
$A = 97.8564$
Explanation
To find area $ A $ use formula:
$$ A = \frac{ a^2 \sqrt{3}}{2} + 3 a l $$After substituting $ a = 4 $ and $ l = 7 $ we have:
$$ A = \frac{ 4^2 \sqrt{3}}{2} + 3 \cdot 4 \cdot 7 $$$$ A = \frac{ 16 \sqrt{3}}{2} + 3 \cdot 28 $$$$ A = \frac{ 16 \sqrt{ 3 }}{2} + 84 $$$$ A = 8 \sqrt{ 3 } + 84 $$$$ A = 97.8564 $$This page was created using
Triangular Prism Calculator