Question
Find the volume $ V $ of a pyramid if height $h = 17\, \text{cm}$ and base area $B = 104\, \text{cm}$.
Answer
$\dfrac{ 1768 }{ 3 }\, \text{cm}$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $B = 104\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 104\, \text{cm} $$ $$ a = \sqrt{ 104\, \text{cm} } $$ $$ a = 2 \sqrt{ 26 } $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = \dfrac{ a ^{ 2 } \cdot h }{ 3 } $$After substituting $a = 2 \sqrt{ 26 }\, \text{cm}^0$ and $h = 17\, \text{cm}$ we have:
$$ V = \dfrac{ 104 \cdot 17\, \text{cm} }{ 3 }$$$$ V = \dfrac{ 1768\, \text{cm} }{ 3 } $$$$ V = \frac{ 1768 }{ 3 }\, \text{cm} $$This page was created using
Pyramid Calculator