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) in^2

Answer 1

To find the surface area of the box, we need to calculate the area of each of its six faces and then add them together.

The box consists of 6 faces:
- 2 rectangular faces (top and bottom) with dimensions 9 cm x 3 cm each
- 2 rectangular faces (side faces) with dimensions 6 cm x 3 cm each
- 2 square faces (front and back faces) with dimensions 6 cm x 9 cm each

Calculate the area of each face:
- Area of the top and bottom faces = 2 * (9 cm * 3 cm) = 2 * 27 cm^2 = 54 cm^2
- Area of the side faces = 2 * (6 cm * 3 cm) = 2 * 18 cm^2 = 36 cm^2
- Area of the front and back faces = 2 * (6 cm * 9 cm) = 2 * 54 cm^2 = 108 cm^2

Add all the areas together to get the total surface area of the box:
54 cm^2 + 54 cm^2 + 36 cm^2 + 36 cm^2 + 108 cm^2 + 108 cm^2 = 396 cm^2

Therefore, the surface area of the box is 396 cm^2.