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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 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
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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. 1st rectangle: 1mm x 4.5mm = 4.5 mm²
2. 2nd rectangle: 5mm x 4.5mm = 22.5 mm²
3. 3rd rectangle: 1mm x 4.5mm = 4.5 mm²
4. 4th rectangle: 5mm x 4.5mm = 22.5 mm²
5. 5th rectangle: 5mm x 1mm = 5 mm²
6. 6th rectangle: 5mm x 1mm = 5 mm²

Adding all the areas together:
4.5 + 22.5 + 4.5 + 22.5 + 5 + 5 = 64 mm²

Therefore, the surface area of the rectangular prism is 64 mm².