Use the image to answer the question.

The image is a histogram chart showing the frequency of different measurements. The measurements are in inches and vary from 3 to 8 inches.

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

1 answer

To find the surface area of the box, we need to find the sum of the areas of each face.

Looking at the image, we can see that the length of the box is around 5.5 inches, the width is around 3.5 inches, and the height is around 1 inch.

The surface area formula for a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh

Plugging in the measurements we have:
Surface Area = 2(3.5)(1) + 2(3.5)(5.5) + 2(1)(5.5)
Surface Area = 7 + 38.5 + 11
Surface Area = 56.5 square inches

The surface area of the box is 56.5 in^2.
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