Question
Find the lateral area $ L $ of a pyramid if slant height $s = 14\, \text{cm}$ and base area $B = 6\, \text{cm}$.
Answer
$28 \sqrt{ 6 }\, \text{cm}$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $B = 6\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 6\, \text{cm} $$ $$ a = \sqrt{ 6\, \text{cm} } $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $a = \sqrt{ 6 }\, \text{cm}^0$ and $s = 14\, \text{cm}$ we have:
$$ L = 2 \sqrt{ 6 } \cdot 14\, \text{cm} $$$$ L = 28 \sqrt{ 6 }\, \text{cm} $$This page was created using
Pyramid Calculator