Question
Find the height $ h $ of a pyramid if side $a = 48\, \text{cm}$ and volume $V = 144\, \text{cm}$.
Answer
$\dfrac{ 3 }{ 16 }\, \text{cm}^-1$
Explanation
To find height $ h $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $V = 144\, \text{cm}$ and $a = 48\, \text{cm}$ we have:
$$ 144\, \text{cm} = \dfrac{ 48\, \text{cm} ^{ 2 } \cdot h }{ 3 } $$$$ 144\, \text{cm} \cdot 3 = 48\, \text{cm} ^{ 2 } \cdot h $$$$ 432\, \text{cm} = 2304\, \text{cm}^2 \cdot h $$$$ h = \dfrac{ 432\, \text{cm} }{ 2304\, \text{cm}^2 } $$$$ h = \frac{ 3 }{ 16 }\, \text{cm}^-1 $$This page was created using
Pyramid Calculator