Find the face area $ FA $ of a cube if volume $V = 729$.
Answer
$FA = 81$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $ V = 729 $ we have:
$$ V = a^3 $$ $$ a^3 = 729 $$ $$ a = \sqrt[3]{ 729 } $$ $$ a = 9 $$STEP 2: find face area $ FA $
To find face area $ FA $ use formula:
$$ FA = a^2 $$After substituting $ a = 9 $ we have:
$$ FA = 9^2 $$ $$ FA = 81 $$This page was created using
Cube Calculator