Question
Find the volume $ V $ of a pyramid if side $a = 22\, \text{cm}$ and height $h = 2 \sqrt{ 102 }\, \text{cm}$.
Answer
$\dfrac{ 968 \sqrt{ 102}}{ 3 }\, \text{cm}^3$
Explanation
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $a = 22\, \text{cm}$ and $h = 2 \sqrt{ 102 }\, \text{cm}$ we have:
$$ V = \dfrac{ 484\, \text{cm}^2 \cdot 2 \sqrt{ 102 }\, \text{cm} }{ 3 }$$$$ V = \dfrac{ 968 \sqrt{ 102 }\, \text{cm}^3 }{ 3 } $$$$ V = \frac{ 968 \sqrt{ 102}}{ 3 }\, \text{cm}^3 $$This page was created using
Pyramid Calculator