Find the volume $ V $ of a pyramid if height $h = 2.8$ and base area $B = 4.48$.
Answer
$V = 4.1813$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 4.48 $ we have:
$$ B = a^2 $$ $$ a^2 = 4.48 $$ $$ a = \sqrt{ 4.48 } $$$$ a \approx 2.1166 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ a = 2.1166 $ and $ h = 2.8 $ we have:
$$ V = \dfrac{ 4.48 \cdot 2.8 }{ 3 }$$$$ V = \dfrac{ 12.544 }{ 3 } $$$$ V = 4.1813 $$This page was created using
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