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?
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.
(1 point)
To find the surface area of the jewelry box, we need to calculate the surface area of each individual rectangle and then add them together.
Surface area of the top rectangle:
3 inches x 8 inches = 24 square inches
6 inches x 8 inches = 48 square inches
Total surface area of top rectangle = 24 square inches + 48 square inches = 72 square inches
Surface area of the side rectangle:
3 inches x 6 inches = 18 square inches
6 inches x 6 inches = 36 square inches
Total surface area of side rectangle = 18 square inches + 36 square inches = 54 square inches
Total surface area of the jewelry box = 72 square inches (top) + 54 square inches (side) = 126 square inches
Therefore, the surface area of the jewelry box is 126 square inches.