Question

Use the image to answer the question.

An illustration shows a three dimensional composite figure formed by a rectangular prism with a missing section. The missing section is also in the shape of a rectangular prism. The top, right, and front faces of the figure are visible. The faces and edges that are not visible are indicated by dashed lines. The rectangular prism has a length of 15 inches, a width of 6 inches, and a height of 12 inches. The missing section is removed from the top center of the rectangular prism. The missing section is a rectangular prism with a length of 7 inches, and a height of 6 inches. The missing section has the same width as the larger rectangular prism. The missing section is centered at the top of the larger rectangular prism. The remaining lengths to the left and right of the missing section both measure 4 inches.

What is the total surface area of the figure?

(1 point)
in.2
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the total surface area of the figure, we need to find the surface area of the large rectangular prism and then subtract the surface area of the missing section.

Surface area of the large rectangular prism:
- Front and back faces: 2 * (15 in * 12 in) = 360 in^2
- Top and bottom faces: 2 * (15 in * 6 in) = 180 in^2
- Left and right faces: 2 * (12 in * 6 in) = 144 in^2

Total surface area of the large rectangular prism: 360 in^2 + 180 in^2 + 144 in^2 = 684 in^2

Surface area of the missing section:
- Front and back faces: 2 * (7 in * 6 in) = 84 in^2
- Top and bottom faces: 2 * (7 in * 6 in) = 84 in^2
- Left and right faces: 2 * (6 in * 6 in) = 72 in^2

Total surface area of the missing section: 84 in^2 + 84 in^2 + 72 in^2 = 240 in^2

Therefore, the total surface area of the figure is: 684 in^2 - 240 in^2 = 444 in^2.

Answer 2

wrong'

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's try again.

Surface area of the large rectangular prism:
- Front and back faces: 2 * (15 in * 12 in) = 360 in^2
- Top and bottom faces: 2 * (15 in * 6 in) = 180 in^2
- Left and right faces: 2 * (12 in * 6 in) = 144 in^2

Total surface area of the large rectangular prism: 360 in^2 + 180 in^2 + 144 in^2 = 684 in^2

Surface area of the missing section:
- Front and back faces: 2 * (7 in * 6 in) = 84 in^2
- Top and bottom faces: 2 * (7 in * 6 in) = 84 in^2
- Left and right faces: 2 * (6 in * 6 in) = 72 in^2

Total surface area of the missing section: 84 in^2 + 84 in^2 + 72 in^2 = 240 in^2

Therefore, the total surface area of the figure is: 684 in^2 + 240 in^2 = 924 in^2.

Answer 4

wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the errors in my previous responses.

To calculate the total surface area of the figure, we need to find the total surface area of the large rectangular prism and then subtract the surface area of the missing section.

Surface area of the large rectangular prism:
- Front and back faces: 2 * (15 in * 12 in) = 360 in^2
- Top and bottom faces: 2 * (15 in * 6 in) = 180 in^2
- Left and right faces: 2 * (12 in * 6 in) = 144 in^2

Total surface area of the large rectangular prism: 360 in^2 + 180 in^2 + 144 in^2 = 684 in^2

Surface area of the missing section:
- Front and back faces: 2 * (7 in * 6 in) = 84 in^2
- Top and bottom faces: 2 * (7 in * 6 in) = 84 in^2
- Left and right faces: 2 * (6 in * 6 in) = 72 in^2

Total surface area of the missing section: 84 in^2 + 84 in^2 + 72 in^2 = 240 in^2

Therefore, the total surface area of the figure is: 684 in^2 - 240 in^2 = 444 in^2.

Therefore, the total surface area of the figure is 444 square inches.

Answer 6

its not

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let's re-calculate the total surface area of the figure.

Surface area of the large rectangular prism:
- Front and back faces: 2 * (15 in * 12 in) = 360 in^2
- Top and bottom faces: 2 * (15 in * 6 in) = 180 in^2
- Left and right faces: 2 * (12 in * 6 in) = 144 in^2

Total surface area of the large rectangular prism: 360 in^2 + 180 in^2 + 144 in^2 = 684 in^2

Surface area of the missing section:
- Front and back faces: 2 * (7 in * 6 in) = 84 in^2
- Top and bottom faces: 2 * (7 in * 6 in) = 84 in^2
- Left and right faces: 2 * (6 in * 6 in) = 72 in^2

Total surface area of the missing section: 84 in^2 + 84 in^2 + 72 in^2 = 240 in^2

Therefore, the total surface area of the figure is: 684 in^2 - 240 in^2 = 444 in^2.

Therefore, the total surface area of the figure is 444 square inches.