Use the image to answer the question.

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 third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first 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)
72
in.2
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Answer 1

To find the surface area of the rectangular prism, we need to calculate the area of each of the 6 rectangles and then add them all together.

First rectangle: 4 inches x 8 inches = 32 in^2
Second rectangle: 2.25 inches x 4 inches = 9 in^2
Third rectangle: 4 inches x 8 inches = 32 in^2
Fourth rectangle: 2.25 inches x 8 inches = 18 in^2
Fifth rectangle (same as first): 4 inches x 8 inches = 32 in^2
Sixth rectangle (same as second): 2.25 inches x 4 inches = 9 in^2

Total surface area = 32 + 9 + 32 + 18 + 32 + 9 = 132 in^2

Therefore, the surface area of the rectangular prism is 132 in^2.