Question

Question

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 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
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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 six rectangles and then sum them up.

1. The first rectangle: Area = 3m * 1.5m = 4.5m²
2. The second rectangle: Area = 4m * 1.5m = 6m² (since it is sharing the bottom side with the first rectangle)
3. The third rectangle: Area = 3m * 1.5m = 4.5m²
4. The fourth rectangle: Area = 4m * 1.5m = 6m² (since it is sharing the top side with the second rectangle)
5. Fifth rectangle: Area = 3m * 1.5m = 4.5m² (sharing the same area as the first rectangle)
6. Sixth rectangle: Area = 4m * 1.5m = 6m² (sharing the same area as the second rectangle)

Summing up all the areas: 4.5m² + 6m² + 4.5m² + 6m² + 4.5m² + 6m² = 32m²

Therefore, the surface area of the rectangular prism is 32m².