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)
in.2
To find the surface area of the box, we need to find the area of each individual rectangle and then add them together.
First, let's find the area of the horizontal rectangle:
3 inches x 8 inches = 24 square inches
6 inches x 12 inches = 72 square inches
6 inches x 8 inches = 48 square inches
Total area of horizontal rectangle = 24 + 72 + 48 = 144 square inches
Next, let's find the area of the vertical rectangle:
3 inches x 6 inches = 18 square inches
6 inches x 18 inches = 108 square inches
Total area of vertical rectangle = 18 + 108 = 126 square inches
Now, add the total area of both rectangles together to find the surface area of the box:
144 square inches + 126 square inches = 270 square inches
Therefore, the surface area of the box is 270 square inches.