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.
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
97 ft.2
97 ft. squared
35 ft.2
35 ft. squared
194 ft.2
194 ft. squared
168 ft.2
1 answer