Question
Find the base area $ B $ of a pyramid if slant height $s = 3\, \text{cm}$ and lateral surface $L = 13\, \text{cm}$.
Answer
$0.4756$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $L = 13\, \text{cm}$ and $s = 3\, \text{cm}$ we have:
$$ 13\, \text{cm} = 2 \cdot a \cdot \left( 3\, \text{cm} \right)^{4} $$$$ 13\, \text{cm} = 6\, \text{cm} \cdot a $$$$ a = \dfrac{ 13\, \text{cm}}{ 6\, \text{cm} } $$$$ a \approx 0.6897 $$STEP 2: find base area $ B $
To find base area $ B $ use formula:
$$ B = a^2 $$After substituting $a = 0.6897\, \text{cm}^0$ we have:
$$ B = 0.6897 $$ $$ B = 0.4756 $$This page was created using
Pyramid Calculator