Use the image to answer the question.

An illustration shows an unfolded version of a rectangular prism.
A large vertical rectangle is divided into four stacked horizontal rectangles labeled as side, bottom, side, and top, all with common dashed lines in between them. The second rectangle, labeled as bottom, shows a length of 12 centimeters and a width of 7 centimeters. There are two additional rectangles adjoined to both sides of the second rectangle, with common dashed lines in between them. These two adjoined rectangles are labeled as side, each with a width of 3 centimeters.

Find the lateral surface area of the rectangular prism represented by the given net.

(1 point)
cm2

1 answer

To find the lateral surface area of the rectangular prism, we need to add up the surface areas of the four side faces.

The two side faces have dimensions 12 cm by 7 cm, so the total area for both side faces is 2 * 12 cm * 7 cm = 168 cm^2.

The other two side faces have dimensions 12 cm by 3 cm, so the total area for both side faces is 2 * 12 cm * 3 cm = 72 cm^2.

Adding these two values together, the lateral surface area of the rectangular prism is 168 cm^2 + 72 cm^2 = 240 cm^2.

Therefore, the lateral surface area of the rectangular prism represented by the given net is 240 cm^2.
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