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What is the surface area of the figure? A. 428 ft2 B. 560 ft2 C. 632 ft2 D. 888 ft2Download jpg

Blair Lewis

in Mathematics

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Kyle Mckinney on June 2, 2018

We have 8 sides to calculate, it's going to be hard to explain which side I'm calculating without marking in the image. Let's start with the front towards the side. We can break this into a 8 feet x 8 feet square, and a 14-foot x 6-foot rectangle. The area is equal to: 8 ft x 8 ft + 14 ft x 6 ft = 148ft^2the face-to-face, is the same area as the rear face of the counterpart so that we can multiply the surface area by 2:148ft^2 x 2 = 296f^2Adding the bottom of the surface of the area 6 feet x 14 feet:6 feet x 14 feet + 296ft^2 = 380ft^2Adding the right side of 6 feet x 14 feet:6 feet x 14 feet + 380ft^2 = 464ft^2Adding the left-hand side of 8 feet x 6 feet-8 feet x 6 feet + 464ft^2 = 512ft^2Adding the 3 sides in the top 8 feet x 6 feet (with the top down), 6 feet x 6 feet (with the top down), and 6 feet x 6 feet (left front):8 feet x 6 feet + 512ft^2 = 560ft^26 feet x 6 feet + 560ft^2 = 596ft^26 feet x 6 feet + 596ft^2 = 632ft^2Therefore the answer is C, 632 ft^2.


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