Use the image to answer the question.

Question

The image is a chart that includes three measurements: 3 inches, 4 inches, and 9 inches. It likely contains lines, rectangles, and squares to represent the different lengths. The design may involve parallel lines.



The net of a rectangular prism is shown. What is the surface area of the rectangular prism?

(1 point)
Responses

212 in.2
212

in
.
2
212 in.2
212

in
.
2

75 in.2
75

in
.
2
75 in.2
75

in
.
2

123 in.2
123

in
.
2
123 in.2
123

in
.
2

150 in.2
150

in
.
2
150 in.2
150

in
.
2

Answer 1

To find the surface area of the rectangular prism, we need to find the area of each face and sum them up.

The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

From the image, we can see that the measurements are 3 inches, 4 inches, and 9 inches.

Plugging the values into the formula:
2(3)(4) + 2(3)(9) + 2(4)(9)
= 24 + 54 + 72
= 150 in.2

Therefore, the surface area of the rectangular prism is 150 in.2.