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 horizontally. The first and third are similar and bigger. The second and fourth are similar and smaller. The third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
(1 point)
in.2
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To find the surface area of the rectangular prism, we need to find the area of each of the six rectangles and then add them together.
Let's label the rectangles:
1. 4 inches by x inches
2. 4 inches by 2.25 inches
3. 4 inches by x inches
4. 2.25 inches by 8 inches
5. x inches by 8 inches
6. x inches by 2.25 inches
Now, we can calculate the area of each rectangle:
1. 4x
2. 9 inches
3. 4x
4. 18 inches
5. 8x
6. 2.25x
Now, we add them together to get the total surface area:
4x + 9 + 4x + 18 + 8x + 2.25x = 18.25x + 27
So, the surface area of the rectangular prism is 18.25x + 27 square inches.