Question
Find the lateral area $ L $ of a pyramid if slant height $s = 15.3\, \text{cm}$ and base area $B = 64\, \text{cm}$.
Answer
$244.8\, \text{cm}$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $B = 64\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 64\, \text{cm} $$ $$ a = \sqrt{ 64\, \text{cm} } $$ $$ a = 8 $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $a = 8\, \text{cm}^0$ and $s = 15.3\, \text{cm}$ we have:
$$ L = 16 \cdot 15.3\, \text{cm} $$$$ L = 244.8\, \text{cm} $$This page was created using
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