The surface area of this prism can be found by adding together the areas of all 6 rectangles.
The first and third rectangles both have the dimensions of 6 feet by 3.5 feet, giving an area of 6 * 3.5 = 21 sq. ft. each.
The second and fourth rectangles both have the dimensions of 8 feet by 3.5 feet, giving an area of 8 * 3.5 = 28 sq. ft. each.
The fifth and sixth rectangles have the dimensions of 6 feet by 8 feet, giving an area of 6 * 8 = 48 sq. ft. each.
Adding these all together, we get 21 + 21 + 28 + 28 + 48 + 48 = 194 sq. ft.
Therefore, the surface area of this prism is 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
35 ft.2
35 ft. squared
97 ft.2
97 ft. squared
194 ft.2
194 ft. squared
168 ft.2
1 answer