To find the surface area of the rectangular prism, we need to calculate the area of each of the six rectangles and then add them together.
The four adjoining rectangles positioned horizontally are as follows:
1. 54 square inches
2. 24 square inches
3. 36 square inches
4. 24 square inches
The top and bottom rectangles, which are similar, each have an area of 54 square inches. So, the total area of the top and bottom rectangles combined is 54 + 54 = 108 square inches.
The four vertical rectangles each have an area of 36 square inches (sharing the side with the similar rectangle), so the total area of these four rectangles combined is 4 * 36 = 144 square inches.
Now, we add all the areas together to get the surface area of the rectangular prism:
54 + 24 + 36 + 24 + 108 + 144 = 390 square inches
Therefore, the surface area of the rectangular prism is 390 square inches.
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Question
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
1 answer