Total Surface Area = Area of Bases + Lateral Surface Area. Area of Bases = 2 * Area of Trapezoidal Base = 2 * (1/2 * (b1 + b2) * h) = (6 + 8) * 4 = 56 sq. units. Lateral Surface Area = Perimeter of Base * Length of Prism = (4 + 8 + 6 + 4.47) * 14 = 314.58 sq. units. Therefore, TSA = 56 + 314.58 = 370.58 sq. units.
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Split the trapezium into a rectangle and a triangle and work out the areas of them. 4x6=24 (2x4)/2=4 Area of trapezium= 28 There are 2 trapeziums, which makes 56. The back of the shape is 4x14=56. The top of the shape is 6x14=84. The underside of the shape is 8x14=112. The front rectangle is 14x4.47= 62.58.
