Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned vertically. The first and third are similar and bigger. The second and fourth are similar and smaller. The third rectangle is labeled as 6 feet on the left side. The fourth rectangle is labeled as 8 feet on the bottom side. The fourth rectangle shares the left and right sides with two similar rectangles, one on each side. The rectangle on the left is labeled as 3.5 feet on the left side.
What is the surface area of this prism?
(1 point)
Responses
194 ft.2
194 ft. squared
168 ft.2
168 ft. squared
35 ft.2
35 ft. squared
97 ft.2
97 ft. squared
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The surface area of a rectangular prism is given by the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
From the illustration:
Length (l) = 6 feet
Width (w) = 3.5 feet
Height (h) = 8 feet
Plugging the values into the formula:
Surface Area = 2(6)(3.5) + 2(6)(8) + 2(3.5)(8)
Surface Area = 42 + 96 + 56
Surface Area = 194 ft.²
So, the surface area of this prism is 194 ft.².