Find the height $ h $ of a pyramid if side $a = 48$ and volume $V = 144$.
Answer
$h = \frac{ 3 }{ 16 }$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $ V = 144 $ and $ a = 48 $ we have:
$$ 144 = \dfrac{ 48 ^{ 2 } \cdot h }{ 3 } $$$$ 144 \cdot 3 = 48 ^{ 2 } \cdot h $$$$ 432 = 2304 \cdot h $$$$ h = \dfrac{ 432 }{ 2304 } $$$$ h = \frac{ 3 }{ 16 } $$This page was created using
Pyramid Calculator