The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal lengths. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then determine the total area, in sq cm, of all six surfaces of the pillar?
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For a prism, the total surface area is $2 \times \text{Base Area} + \text{Perimeter of Base} \times \text{Height}$.