Find the height $ h $ of a pyramid if volume $V = 1860$ and base area $B = 155$.
Answer
$h = 36$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ B = 155 $ we have:
$$ B = a^2 $$ $$ a^2 = 155 $$ $$ a = \sqrt{ 155 } $$STEP 2: find height $ h $
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 1860 $ and $ a = \sqrt{ 155 } $ we have:
$$ 1860 = \dfrac{ \sqrt{ 155 } ^{ 2 } \cdot h }{ 3 } $$$$ 1860 \cdot 3 = \sqrt{ 155 } ^{ 2 } \cdot h $$$$ 5580 = 155 \cdot h $$$$ h = \dfrac{ 5580 }{ 155 } $$$$ h = 36 $$This page was created using
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