Question

Use Nets to Solve Rectangular Problems Practice

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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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the box, we need to calculate the area of each face and then add them all together.

First, let's identify the dimensions of each face:
- The bottom face: 6 inches long by 3 inches wide
- The top face: 6 inches long by 3 inches wide
- The front face: 6 inches long by 6 inches wide
- The back face: 6 inches long by 3 inches wide
- The left side face: 6 inches long by 6 inches wide
- The right side face: 6 inches long by 6 inches wide

Next, calculate the area of each face:
- Bottom face: 6 inches * 3 inches = 18 square inches
- Top face: 6 inches * 3 inches = 18 square inches
- Front face: 6 inches * 6 inches = 36 square inches
- Back face: 6 inches * 3 inches = 18 square inches
- Left side face: 6 inches * 6 inches = 36 square inches
- Right side face: 6 inches * 6 inches = 36 square inches

Finally, add up all the areas to find the total surface area of the box:
18 + 18 + 36 + 18 + 36 + 36 = 162 square inches

Therefore, the surface area of the box is 162 square inches.

Answer 2

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?