Question

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)
a
mm2

Answer 1

The surface area of a rectangular prism can be calculated by finding the area of each of the six rectangles and then adding them up.

The first rectangle has dimensions 4.5 mm by 1 mm, so its area is 4.5 mm * 1 mm = 4.5 mm^2.
The second rectangle has dimensions 1 mm by 5 mm, so its area is 1 mm * 5 mm = 5 mm^2.
The third rectangle is the same as the first, so it also has an area of 4.5 mm^2.
The fourth rectangle has dimensions 4.5 mm by 1 mm, so its area is 4.5 mm * 1 mm = 4.5 mm^2.

The fifth rectangle has dimensions 4.5 mm by 1 mm, so its area is 4.5 mm * 1 mm = 4.5 mm^2.
The sixth rectangle has dimensions 5 mm by 1 mm, so its area is 5 mm * 1 mm = 5 mm^2.

Adding up all the areas:
4.5 mm^2 + 5 mm^2 + 4.5 mm^2 + 4.5 mm^2 + 4.5 mm^2 + 5 mm^2 = 28 mm^2

Therefore, the surface area of the rectangular prism is 28 mm^2.