Find the volume $ V $ of a pyramid if height $h = 17$ and base area $B = 104$.
Answer
$V = \frac{ 1768 }{ 3 }$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 104 $ we have:
$$ B = a^2 $$ $$ a^2 = 104 $$ $$ a = \sqrt{ 104 } $$ $$ a = 2 \sqrt{ 26 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 2 \sqrt{ 26 } $ and $ h = 17 $ we have:
$$ V = \dfrac{ 104 \cdot 17 }{ 3 }$$$$ V = \dfrac{ 1768 }{ 3 } $$$$ V = \frac{ 1768 }{ 3 } $$This page was created using
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