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 1 millimeter on the top horizontally. The fourth rectangle is labeled as 5 millimeters on the bottom and 4.5 millimeters on the right side. The second 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)
mm2
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 = 1 * 1 = 1 mm²
2. The second rectangle: Area = 1 * 5 = 5 mm²
3. The third rectangle: Area = 1 * 1 = 1 mm²
4. The fourth rectangle: Area = 1 * 4.5 = 4.5 mm²
5. The fifth rectangle (top side of the second rectangle): Area = 1 * 5 = 5 mm²
6. The sixth rectangle (bottom side of the second rectangle): Area = 1 * 5 = 5 mm²
Adding the areas of all six rectangles together:
1 + 5 + 1 + 4.5 + 5 + 5 = 21.5 mm²
So, the surface area of the rectangular prism is 21.5 mm².