Question

What is the surface area of the figure? 428 ft² 560 ft² 632 ft² 888 ft² Irregular backwards L-shaped prism. The dimensions are 14 ft long in the front. Then on the left side goes up 8 ft. Then in to the right 8 ft. From the 14 ft in the front it goes back 6 ft. Then up 14 ft. A.428 ft² B.560 ft² C.632 ft² D.888 ft²

Answer 1

The surface area of the L-shaped prism is the sum of the surface areas of the two rectangular prisms that make up the figure. So,
SA = (8(8) + 8(14) + 8(14))(2) + ((14-8)(6) + (14-8)(8) + 6(8))(2)
SA = 632

The answer is
C. 632 ft2

Answer 2

The surface area of the figure (L shaped prism) is 632 ft²

Area

Area is the amount of space occupied by a two dimensional figure. The area of a rectangle is given by:

Area = length * width

The area of L shape = (8 * 14) + [(14 - 8) * (14 - 8)] = 148 ft²

Area of figure = 2(148) + (14 * 6) + (8 * 6) + (14 * 6) + (8 * 6) + [(6) * (14 - 8)] + [(6) * (14 - 8)]

Area of figure = 632 ft²]

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