Question

Surface Area of Rectangular Prisms Practice

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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 first rectangle is labeled 7 inches on the top horizontally. The second rectangle is labeled as 3 inches on the top and 5 inches vertically. The third 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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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the rectangular prism, you need to calculate the area of each of the six rectangles and then add them up.

1. The first rectangle has dimensions 7 inches by 5 inches. The area is 7 * 5 = 35 square inches.
2. The second rectangle has dimensions 3 inches by 5 inches. The area is 3 * 5 = 15 square inches.
3. The third rectangle has the same dimensions as the first, 7 inches by 5 inches. The area is 35 square inches.
4. The fourth rectangle has the same dimensions as the second, 3 inches by 5 inches. The area is 15 square inches.
5. The fifth rectangle has dimensions 7 inches by 3 inches. The area is 7 * 3 = 21 square inches.
6. The sixth rectangle has dimensions 5 inches by 3 inches. The area is 5 * 3 = 15 square inches.

Now, add up all the areas: 35 + 15 + 35 + 15 + 21 + 15 = 136 square inches.

Therefore, the surface area of the rectangular prism is 136 square inches.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let me try the correct calculation.

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

The rectangular prism consists of 6 faces: there are two rectangles with dimensions 7 inches by 5 inches, two rectangles with dimensions 3 inches by 5 inches, and two rectangles with dimensions 7 inches by 3 inches.

Calculating the area of each face:
1. Face 1: 7 inches by 5 inches = 35 square inches
2. Face 2: 7 inches by 5 inches = 35 square inches
3. Face 3: 3 inches by 5 inches = 15 square inches
4. Face 4: 3 inches by 5 inches = 15 square inches
5. Face 5: 7 inches by 3 inches = 21 square inches
6. Face 6: 7 inches by 3 inches = 21 square inches

Now, add up all the areas: 35 + 35 + 15 + 15 + 21 + 21 = 142 square inches.

Therefore, the correct surface area of the rectangular prism is 142 square inches. Thank you for your patience.