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
To find the surface area of the rectangular prism, we first need to calculate the areas of each of the 6 rectangles and then sum 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 fourth rectangle (same as the second rectangle): 24 square inches
Now we need to find the areas of the two remaining rectangles:
5. Area of the first rectangle (same as the third rectangle): 36 square inches
6. Area of the bottom rectangle (same as the top rectangle): 54 square inches
Now sum up the areas of all 6 rectangles:
54 + 24 + 36 + 24 + 36 + 54 = 228 square inches
Therefore, the surface area of the rectangular prism is 228 square inches.