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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)
m (power of 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 six rectangles and then add them together.

1. First rectangle: 3m x 1.5m = 4.5m²
2. Second rectangle: 3m x 4m = 12m²
3. Third rectangle: 3m x 1.5m = 4.5m²
4. Fourth rectangle: 3m x 4m = 12m²
5. Fifth rectangle: 1.5m x 4m = 6m²
6. Sixth rectangle: 1.5m x 4m = 6m²

Now, add all the areas together:
4.5m² + 12m² + 4.5m² + 12m² + 6m² + 6m² = 45m²

Therefore, the total surface area of the rectangular prism is 45 square meters.