Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a right triangular prism placed on top of a rectangular prism. The top, right, and front faces are visible. The faces and edges that are not visible are indicated by dashed lines. The rectangular prism has a length of 12 feet and a height of 8 feet. The width of the rectangular prism is 8 feet. The edges of the hidden side face of the right triangular prism align perfectly with the edges of the hidden top face of the rectangular prism. The right triangular prism is aligned to the left of the rectangular prism. The height of the right triangular prism is not shown. The total height of the left side of the figure is 20 feet. The right triangular prism has a width of 8 feet. The hypotenuse side of the right triangular prism has a length of 15 feet.
What is the surface area of the figure?
(1 point)
ft.2
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Surface Area = 2*(Area of rectangular prism) + 2*(Area of right triangular prism) + (Area of shared face)
Area of rectangular prism = 2*(12*8 + 12*8 + 8*8) = 512 ft^2
Area of right triangular prism = (1/2)*(8*15) = 60 ft^2
Area of shared face = 12*8 = 96 ft^2
Surface Area = 2*(512) + 2*(60) + 96 = 1240 ft^2
Therefore, the surface area of the figure is 1240 ft^2.