Find the volume $ V $ of a pyramid if height $h = 12.1$ and base area $B = 16.1$.
Answer
$V = 64.9367$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 16.1 $ we have:
$$ B = a^2 $$ $$ a^2 = 16.1 $$ $$ a = \sqrt{ 16.1 } $$$$ a \approx 4.0125 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 4.0125 $ and $ h = 12.1 $ we have:
$$ V = \dfrac{ 16.1 \cdot 12.1 }{ 3 }$$$$ V = \dfrac{ 194.81 }{ 3 } $$$$ V = 64.9367 $$This page was created using
Pyramid Calculator