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 area $ A $
To find area $ A $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $a = 9\, \text{cm}^0$ we have:
$$ A = 6 \cdot 9 $$ $$ A = 486 $$ $$ A = 486 $$