STEP 1: find base area $ B $

To find base area $ B $ use formula:

$$ B = a^2 $$

After substituting $a = 16\, \text{cm}$ we have:

$$ B = \left( 16\, \text{cm} \right)^{2} $$ $$ B = 256\, \text{cm}^2 $$

STEP 2: find lateral surface $ L $

To find lateral surface $ L $ use formula:

$$ L = 2 \cdot a \cdot s $$

After substituting $a = 16\, \text{cm}$ and $s = 12\, \text{cm}$ we have:

$$ L = 32\, \text{cm} \cdot 12\, \text{cm} $$$$ L = 384\, \text{cm}^2 $$

STEP 3: find total surface $ A $

To find total surface $ A $ use formula:

$$ A = B + L $$

After substituting $B = 256\, \text{cm}^2$ and $L = 384\, \text{cm}^2$ we have:

$$ A = 256\, \text{cm}^2 + 384\, \text{cm}^2 $$ $$ A = 256\, \text{cm}^2 + 384\, \text{cm}^2 $$ $$ A = 640\, \text{cm}^2 $$

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