Find the volume $ V $ of a pyramid if height $h = 20$ and base area $B = 225$.
Answer
$V = 1500$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 225 $ we have:
$$ B = a^2 $$ $$ a^2 = 225 $$ $$ a = \sqrt{ 225 } $$ $$ a = 15 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 15 $ and $ h = 20 $ we have:
$$ V = \dfrac{ 225 \cdot 20 }{ 3 }$$$$ V = \dfrac{ 4500 }{ 3 } $$$$ V = 1500 $$This page was created using
Pyramid Calculator