The surface area of a rectangular prism can be found using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
From the illustration, the length (l) is 6 + 3.5 = 9.5 feet, the width (w) is 6 feet, and the height (h) is 8 feet.
Plugging these values into the formula:
2(9.5)(6) + 2(9.5)(8) + 2(6)(8) = 2(57) + 2(76) + 96 = 114 + 152 + 96 = 362
Therefore, the surface area of this prism is 362 square feet.
Therefore, the closest answer choice is 194 ft.2 or 194 ft. squared.
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
168 ft.2
168 ft. squared
194 ft.2
194 ft. squared
97 ft.2
97 ft. squared
35 ft.2
1 answer