Question
Find the base diagonal $ d $ of a pyramid if height $h = 25\, \text{cm}$ and base area $B = 81\, \text{cm}$.
Answer
$9 \sqrt{ 2 }$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $B = 81\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 81\, \text{cm} $$ $$ a = \sqrt{ 81\, \text{cm} } $$ $$ a = 9 $$STEP 2: find base diagonal $ d $
To find base diagonal $ d $ use formula:
$$ d = \sqrt{ 2 } \cdot a $$After substituting $a = 9\, \text{cm}^0$ we have:
$$ d = \sqrt{ 2 } \cdot 9 $$ $$ d = 9 \sqrt{ 2 } $$This page was created using
Pyramid Calculator