Find the face area $ FA $ of a cube if volume $V = 729\, \text{cm}$.
Answer
$81$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $V = 729\, \text{cm}$ we have:
$$ V = a^3 $$ $$ a^3 = 729\, \text{cm} $$ $$ a = \sqrt[3]{ 729\, \text{cm} } $$ $$ a = 9 $$STEP 2: find face area $ FA $
To find face area $ FA $ use formula:
$$ FA = a^2 $$After substituting $a = 9\, \text{cm}^0$ we have:
$$ FA = 9 $$ $$ FA = 81 $$This page was created using
Cube Calculator