Find the volume $ V $ of a pyramid if height $h = 24$ and base area $B = 65$.
Answer
$V = 520$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 65 $ we have:
$$ B = a^2 $$ $$ a^2 = 65 $$ $$ a = \sqrt{ 65 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = \sqrt{ 65 } $ and $ h = 24 $ we have:
$$ V = \dfrac{ 65 \cdot 24 }{ 3 }$$$$ V = \dfrac{ 1560 }{ 3 } $$$$ V = 520 $$This page was created using
Pyramid Calculator