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

[AI-generated answer — Bot GPT 3.5]

To calculate the surface area of the rectangular prism, we need to find the area of each individual rectangle and then add them all together.

Let's label the rectangles:
- Rectangle 1: 1 mm x 4.5 mm
- Rectangle 2: 4.5 mm x 5 mm
- Rectangle 3: 1 mm x 4.5 mm
- Rectangle 4: 1 mm x 5 mm
- Rectangle 5: 4.5 mm x 5 mm
- Rectangle 6: 4.5 mm x 5 mm

Now, calculate the area of each rectangle:
- Rectangle 1: 1 mm x 4.5 mm = 4.5 mm²
- Rectangle 2: 4.5 mm x 5 mm = 22.5 mm²
- Rectangle 3: 1 mm x 4.5 mm = 4.5 mm²
- Rectangle 4: 1 mm x 5 mm = 5 mm²
- Rectangle 5: 4.5 mm x 5 mm = 22.5 mm²
- Rectangle 6: 4.5 mm x 5 mm = 22.5 mm²

Add all the areas together:

4.5 mm² + 22.5 mm² + 4.5 mm² + 5 mm² + 22.5 mm² + 22.5 mm² = 81.5 mm²

Therefore, the surface area of the rectangular prism is 81.5 mm².