Question

Use the image to answer the question.

An illustration shows two rectangles intersecting, one is oriented horizontally and the other is oriented vertically. Their dimensions are labeled are they are divided into segments. The dimensions of the horizontal rectangle are as follows: It is divided into four segments. The first segment is labeled 3 inches horizontal and 8 inches vertical. The second segment is labeled 6 inches horizontal. The third segment is the intersection common area and is not labeled. The fourth segment is 6 inches horizontal and 8 inches vertical. The dimensions of the vertical rectangle are as follows: It is divided into three segments. The top segment is labeled 3 inches horizontal and 6 inches vertical. The second segment is the intersection common area and is not labeled. The third segment is labeled 6 inches vertical.

A necklace comes in a jewelry box whose net is shown in this image. What is the surface area of the box?

(1 point)
in.2
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the box, we need to calculate the area of all the individual rectangles and add them up.

For the horizontal rectangle:
- The first segment has an area of 3 inches x 8 inches = 24 square inches
- The second segment has an area of 6 inches x 8 inches = 48 square inches
- The fourth segment has an area of 6 inches x 8 inches = 48 square inches
Total area for the horizontal rectangle = 24 + 48 + 48 = 120 square inches

For the vertical rectangle:
- The top segment has an area of 3 inches x 6 inches = 18 square inches
- The third segment has an area of 6 inches x 6 inches = 36 square inches
Total area for the vertical rectangle = 18 + 36 = 54 square inches

Now, add up the total area of the horizontal and vertical rectangles:
120 square inches + 54 square inches = 174 square inches

Therefore, the surface area of the jewelry box is 174 square inches.