Question

Use the image to answer the question.

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]

The surface area of the box can be calculated by finding the area of each of the six faces and adding them together.

Looking at the net, we can see that the box has dimensions of:

- Length: 6 cm
- Width: 3 cm
- Height: 3 cm

The net shows that the box has 6 faces: a rectangle for the bottom, a rectangle for the top, and 4 rectangles for the sides.

The area of the bottom and top rectangles is length x width = 6 cm x 3 cm = 18 cm² each.

The area of the side rectangles is height x width = 3 cm x 3 cm = 9 cm² each (there are 4 side faces).

Therefore, the total surface area of the box is:
18 cm² (bottom) + 18 cm² (top) + 9 cm² x 4 (sides) = 18 cm² + 18 cm² + 36 cm² = 72 cm²

So, the surface area of the box is 72 cm².