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 bigger. The second and fourth are similar and smaller. The third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first 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)
in.2
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the answer is not 91
To find the surface area of the rectangular prism, we must calculate the area of each individual rectangle and then add them all together.
1. The first rectangle has dimensions of 4 inches by 8 inches, so its area is 4 x 8 = 32 in².
2. The second rectangle has dimensions of 4 inches by 2.25 inches, so its area is 4 x 2.25 = 9 in².
3. The third rectangle has dimensions of 4 inches by 8 inches, so its area is 4 x 8 = 32 in².
4. The fourth rectangle has dimensions of 2.25 inches by 8 inches, so its area is 2.25 x 8 = 18 in².
5. The fifth rectangle has dimensions of 2.25 inches by 8 inches, so its area is 2.25 x 8 = 18 in².
6. The sixth rectangle has dimensions of 4 inches by 8 inches, so its area is 4 x 8 = 32 in².
Adding all the individual areas together: 32 + 9 + 32 + 18 + 18 + 32 = 141 in².
Therefore, the surface area of the rectangular prism is 141 in².
wrong
I apologize for the mistake in my previous response. Let's recalculate the surface area of the rectangular prism.
The rectangular prism consists of six rectangles:
1. Two rectangles with dimensions 4 inches by 8 inches each.
2. Two rectangles with dimensions 4 inches by 2.25 inches each.
3. Two rectangles with dimensions 2.25 inches by 8 inches each.
To calculate the surface area, we need to find the area of each rectangle and then add them up.
1. Area of the first rectangle: 4 inches x 8 inches = 32 square inches
2. Area of the second rectangle: 4 inches x 2.25 inches = 9 square inches
3. Area of the third rectangle: 4 inches x 8 inches = 32 square inches
4. Area of the fourth rectangle: 4 inches x 2.25 inches = 9 square inches
5. Area of the fifth rectangle: 2.25 inches x 8 inches = 18 square inches
6. Area of the sixth rectangle: 2.25 inches x 8 inches = 18 square inches
Adding all the individual areas together: 32 + 9 + 32 + 9 + 18 + 18 = 118 square inches.
Therefore, the correct surface area of the rectangular prism is 118 square inches. Thank you for your patience.