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)
___in.2

Answer 1

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.

Let's label the rectangles:
1st rectangle: 4 inches x 8 inches (top and bottom)
2nd rectangle: 4 inches x 2.25 inches (left and right)
3rd rectangle: 4 inches x 8 inches (top and bottom)
4th rectangle: 4 inches x 2.25 inches (left and right)
5th rectangle: 2.25 inches x 8 inches (front)
6th rectangle: 2.25 inches X 8 inches (back)

Now, let's calculate the area of each rectangle and then add them up:
1st rectangle: 4 inches x 8 inches = 32 square inches
2nd rectangle: 4 inches x 2.25 inches = 9 square inches
3rd rectangle: 4 inches x 8 inches = 32 square inches
4th rectangle: 4 inches x 2.25 inches = 9 square inches
5th rectangle: 2.25 inches x 8 inches = 18 square inches
6th rectangle: 2.25 inches x 8 inches = 18 square inches

Total surface area = 32 + 9 + 32 + 9 + 18 + 18 = 118 square inches

Therefore, the surface area of the rectangular prism is 118 in^2.