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 area of the second rectangle is labeled 24 square inches. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side. The area of the top rectangle is labeled as 54 square inches and the area of the third rectangle is labeled as 36 square inches.
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 all together.
The area of the first rectangle = 54 square inches
The area of the second rectangle = 24 square inches
The area of the third rectangle = 36 square inches
The area of the fourth rectangle = 24 square inches
Now, we need to find the area of the top and bottom rectangles. Since they are similar to the third rectangle, their combined area is: 2 * 36 = 72 square inches
Similarly, we need to find the area of the front and back rectangles. Since they are similar to the first rectangle, their combined area is: 2 * 54 = 108 square inches
Finally, we add up all the areas:
54 + 24 + 36 + 24 + 72 + 108 = 318 square inches
Therefore, the surface area of the rectangular prism is 318 square inches.