STEP 1: find side $ a $
To find side $ a $ use formula:
$$ A = 6 \cdot a^2 $$After substituting $ A = 96 $ we have:
$$ 96 = 6 \cdot a^2 $$ $$ a^2 = \dfrac{ 96 }{ 6 } $$ $$ a^2 = 16 $$ $$ a = \sqrt{ 16 } $$ $$ a = 4 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = a^3 $$After substituting $ a = 4 $ we have:
$$ V = 4^3 $$ $$ V = 64 $$