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)
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1 answer

To find the surface area of the rectangular prism, we need to find the area of all six rectangles and then add them together.

1. Area of the top rectangle: 54 square inches
2. Area of the second rectangle: 24 square inches
3. Area of the third rectangle: 36 square inches
4. Area of the bottom rectangle (same as the top): 54 square inches
5. Area of the two side rectangles (similar to the second rectangle): 2 x 24 square inches = 48 square inches

Now, add all these areas together:
54 + 24 + 36 + 54 + 48 = 216

Therefore, the surface area of the rectangular prism is 216 square inches.