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 smaller. The second and fourth are similar and bigger. The first rectangle is labeled 3 meters on the left side vertically and 1.5 meters on the top horizontally. The second rectangle is labeled as 4 meters on the bottom. The fourth 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)
___m2

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 up.

1. The area of the first rectangle is 3m * 1.5m = 4.5m^2
2. The area of the second rectangle is 3m * 4m = 12m^2
3. The area of the third rectangle is the same as the first rectangle, 4.5m^2
4. The area of the fourth rectangle is the same as the second rectangle, 12m^2
5. The area of the fifth rectangle is 1.5m * 4m = 6m^2
6. The area of the sixth rectangle is also 6m^2

Adding up all the areas:
4.5m^2 + 12m^2 + 4.5m^2 + 12m^2 + 6m^2 + 6m^2 = 45m^2

Therefore, the surface area of the rectangular prism is 45m^2.