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 first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third 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

1 answer

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 all up.

1. The first rectangle: 7 inches x 5 inches = 35 square inches
2. The second rectangle: 3 inches x 5 inches = 15 square inches
3. The third rectangle (same as the first): 7 inches x 5 inches = 35 square inches
4. The fourth rectangle (same as the second): 3 inches x 5 inches = 15 square inches
5. The fifth rectangle: 7 inches x 3 inches = 21 square inches
6. The sixth rectangle (same as the fifth): 7 inches x 3 inches = 21 square inches

Adding all of these areas together: 35 + 15 + 35 + 15 + 21 + 21 = 142 square inches

Therefore, the surface area of the rectangular prism is 142 square inches.
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