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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)
mm(power of 2)
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Answer 1

To find the surface area of the rectangular prism, we need to add up the area of all the faces.

First, let's find the area of the first rectangle:
Area = length x width
Area = 1mm x 1mm
Area = 1mm^2

Next, let's find the area of the second rectangle:
Area = length x width
Area = 1mm x 5mm
Area = 5mm^2

Now, let's find the area of the third rectangle (which is the same size as the first):
Area = 1mm^2

Next, let's find the area of the fourth rectangle:
Area = length x width
Area = 5mm x 4.5mm
Area = 22.5mm^2

Now, let's find the area of the top and bottom rectangles (which are the same size as the second):
Area = 5mm^2

The total surface area is the sum of all these areas:
1mm^2 + 5mm^2 + 1mm^2 + 22.5mm^2 + 5mm^2 = 34.5mm^2

Therefore, the surface area of the rectangular prism is 34.5 mm^2.

Answer 2

Wrong try again

Answer 3

To find the surface area of the rectangular prism, we need to calculate the area of each face and then add them up.

The rectangular prism consists of 6 rectangles: 1 on the top, 1 on the bottom, 2 on the sides, and 2 on the front and back.

Let's calculate the area of each face:

1. Top and Bottom Faces:
Area = length x width
Top Area = 1mm x 5mm = 5mm^2
Bottom Area = 1mm x 5mm = 5mm^2

2. Side Faces:
Area = length x height
1st Side Area = 1mm x 4.5mm = 4.5mm^2
2nd Side Area = 1mm x 4.5mm = 4.5mm^2

3. Front and Back Faces:
Area = width x height
Front Area = 5mm x 4.5mm = 22.5mm^2
Back Area = 5mm x 4.5mm = 22.5mm^2

Now, add up the areas of all faces to get the total surface area of the rectangular prism:

5mm^2 (top) + 5mm^2 (bottom) + 4.5mm^2 (1st side) + 4.5mm^2 (2nd side) + 22.5mm^2 (front) + 22.5mm^2 (back) = 64.5mm^2

Therefore, the surface area of the rectangular prism is 64.5 mm^2.