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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

97 ft.2
97 ft. squared

35 ft.2
35 ft. squared

194 ft.2
194 ft. squared

168 ft.2

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

194 ft. squared

To calculate the surface area of a rectangular prism, you need to find the areas of all six faces and sum them up.

The first face (6 ft x 8 ft) = 48 ft²
The second face (6 ft x 3.5 ft) = 21 ft²
The third face (6 ft x 8 ft) = 48 ft²
The fourth face (6 ft x 3.5 ft) = 21 ft²
The fifth face (8 ft x 3.5 ft) = 28 ft²
The sixth face (8 ft x 3.5 ft) = 28 ft²

Adding them all up: 48 + 21 + 48 + 21 + 28 + 28 = 194 ft²

Therefore, the surface area of this prism is 194 ft².

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