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