STEP 1: find base area $ B $
To find base area $ B $ use formula:
$$ B = a^2 $$After substituting $a = 0.5\, \text{cm}$ we have:
$$ B = \left( 0.5\, \text{cm} \right)^{2} $$ $$ B = 0.25\, \text{cm}^2 $$STEP 2: find lateral surface $ L $
To find lateral surface $ L $ use formula:
$$ L = 2 \cdot a \cdot s $$After substituting $a = 0.5\, \text{cm}$ and $s = 1.9\, \text{cm}$ we have:
$$ L = 1\, \text{cm} \cdot 1.9\, \text{cm} $$$$ L = 1.9\, \text{cm}^2 $$STEP 3: find total surface $ A $
To find total surface $ A $ use formula:
$$ A = B + L $$After substituting $B = 0.25\, \text{cm}^2$ and $L = 1.9\, \text{cm}^2$ we have:
$$ A = 0.25\, \text{cm}^2 + 1.9\, \text{cm}^2 $$ $$ A = 0.25\, \text{cm}^2 + 1.9\, \text{cm}^2 $$ $$ A = 2.15\, \text{cm}^2 $$