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 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

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. The area of the first rectangle is 1mm * 4.5mm = 4.5mm^2.
2. The area of the second rectangle is (5mm * 4.5mm) + (5mm * 1mm) = 22.5mm^2.
3. The area of the third rectangle is 1mm * 4.5mm = 4.5mm^2.
4. The area of the fourth rectangle is (5mm * 4.5mm) + (5mm * 1mm) = 22.5mm^2.
5. The area of the fifth rectangle is 1mm * 5mm = 5mm^2.
6. The area of the sixth rectangle is 5mm * 4.5mm = 22.5mm^2.

Now, add all the areas together: 4.5mm^2 + 22.5mm^2 + 4.5mm^2 + 22.5mm^2 + 5mm^2 + 22.5mm^2 = 81mm^2.

Therefore, the surface area of the rectangular prism is 81 mm^2.

Answer 2

no

Answer 3

I apologize for the incorrect calculation. Let's try again.

1. The area of the first rectangle is 1mm * 4.5mm = 4.5mm^2.
2. The area of the second rectangle is 1mm * 5mm = 5mm^2.
3. The area of the third rectangle is 1mm * 4.5mm = 4.5mm^2.
4. The area of the fourth rectangle is 1mm * 5mm = 5mm^2.
5. The area of the fifth rectangle is 4.5mm * 5mm = 22.5mm^2.
6. The area of the sixth rectangle is 4.5mm * 5mm = 22.5mm^2.

Now, add all the areas together: 4.5mm^2 + 5mm^2 + 4.5mm^2 + 5mm^2 + 22.5mm^2 + 22.5mm^2 = 64mm^2.

Therefore, the correct surface area of the rectangular prism is 64 mm^2. Thank you for your patience.