Find the volume $ V $ of a pyramid if height $h = 12$ and base area $B = 50$.
Answer
$V = 200$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 50 $ we have:
$$ B = a^2 $$ $$ a^2 = 50 $$ $$ a = \sqrt{ 50 } $$ $$ a = 5 \sqrt{ 2 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 5 \sqrt{ 2 } $ and $ h = 12 $ we have:
$$ V = \dfrac{ 50 \cdot 12 }{ 3 }$$$$ V = \dfrac{ 600 }{ 3 } $$$$ V = 200 $$This page was created using
Pyramid Calculator