Question
Find the side $ a $ of a pyramid if total surface $A = 120\, \text{cm}$ and lateral surface $L = 80\, \text{cm}$.
Answer
$2 \sqrt{ 10 }$
Explanation
STEP 1: find base area $ B $
To find base area $ B $ use formula:
$$ A = B + L $$After substituting $A = 120\, \text{cm}$ and $L = 80\, \text{cm}$ we have:
$$ 120\, \text{cm} = B + 80\, \text{cm} $$ $$ 120\, \text{cm} = B + 80\, \text{cm} $$ $$ 1 B = 120\, \text{cm} - 80\, \text{cm} $$ $$ 1 B = 40\, \text{cm} $$ $$ B = 40\, \text{cm} $$STEP 2: find side $ a $
To find side $ a $ use formula:
After substituting $B = 40\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 40\, \text{cm} $$ $$ a = \sqrt{ 40\, \text{cm} } $$ $$ a = 2 \sqrt{ 10 } $$This page was created using
Pyramid Calculator