Question

Find the total surface area of a trapezoidal prism.

Answer 1

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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Answer 2

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.

As them all together= 56+56+84+112+62.58=370.58.

Total surface area=370.58.

Hope this helps :)