Answer: The toral surface area of the prism is 404 sq ft.
Step-by-step explanation: We are given to find the surface area of the prism using the net of the prism shown.
The surface area of the prism is equal to the sum of the areas of all the rectangles in the net.
As shown in the net, there are four rectangle with dimensions as follows:
(a) Two rectangles of 6 ft by 8 ft. The area of these rectangles will be
A = 2 × 6 × 8 = 96 sq. ft.
(b) One rectangle of 11 ft by (6 + 8 + 6 = 20) ft. The area of this rectangle will be
B = 11 × 20 = 220 sq. ft.
(c) One rectangle of 11 ft by 8 ft. The area of this rectangle will be
C = 11 × 8 = 88 sq ft.
Thus, the total surface area of the prism is given by
A + B +C = 96 + 220 + 88 = 404 sq ft.
