Find the lateral area $ L $ of a pyramid if slant height $s = 7.6$ and base diagonal $d = 6.7$.
Answer
$L = 72.0118$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ d = \sqrt{ 2 } \cdot a $$After substituting $ d = 6.7 $ we have:
$$ 6.7 = \sqrt{ 2 } \cdot a $$ $$ a = \dfrac{ 6.7 }{ \sqrt{ 2 } } $$ $$ a \approx 4.7376 $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $ a = 4.7376 $ and $ s = 7.6 $ we have:
$$ L = 9.4752 \cdot 7.6 $$$$ L = 72.0118 $$This page was created using
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