STEP 1: find side $ a $
To find side $ a $ use formula:
After substituting $B = 40.96\, \text{cm}$ we have:
$$ B = a^2 $$ $$ a^2 = 40.96\, \text{cm} $$ $$ a = \sqrt{ 40.96\, \text{cm} } $$ $$ a = 6.4 $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $a = 6.4\, \text{cm}^0$ and $s = 6.1\, \text{cm}$ we have:
$$ L = 12.8 \cdot 6.1\, \text{cm} $$$$ L = 78.08\, \text{cm} $$STEP 3: find total surface $ A $
To find total surface $ A $ use formula:
$$ A = B + L $$After substituting $B = 40.96\, \text{cm}$ and $L = 78.08\, \text{cm}$ we have:
$$ A = 40.96\, \text{cm} + 78.08\, \text{cm} $$ $$ A = 40.96\, \text{cm} + 78.08\, \text{cm} $$ $$ A = 119.04\, \text{cm} $$