Find the volume $ V $ of a pyramid if height $h = 15$ and base area $B = 875$.
Answer
$V = 4375$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 875 $ we have:
$$ B = a^2 $$ $$ a^2 = 875 $$ $$ a = \sqrt{ 875 } $$ $$ a = 5 \sqrt{ 35 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 5 \sqrt{ 35 } $ and $ h = 15 $ we have:
$$ V = \dfrac{ 875 \cdot 15 }{ 3 }$$$$ V = \dfrac{ 13125 }{ 3 } $$$$ V = 4375 $$This page was created using
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