Question

8 in.
3 in.
3 in.
6 in.
6 in.
6 in.
6 in.
8 in.
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

The surface area of the box can be calculated by finding the area of each face and then adding them all up.

There are 6 faces to the box:
- 2 faces with dimensions 8 in. x 3 in.
- 2 faces with dimensions 3 in. x 3 in.
- 2 faces with dimensions 8 in. x 6 in.

Calculating the area of each face:
- Both faces with dimensions 8 in. x 3 in.: 8 in. x 3 in. = 24 sq. in. each
- Both faces with dimensions 3 in. x 3 in.: 3 in. x 3 in. = 9 sq. in. each
- Both faces with dimensions 8 in. x 6 in.: 8 in. x 6 in. = 48 sq. in. each

Adding up the areas of all faces:
24 sq. in. + 24 sq. in. + 9 sq. in. + 9 sq. in. + 48 sq. in. + 48 sq. in. = 162 sq. in.

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