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The net shown folds to form a rectangular prism. Determine the lateral surface area of the prism

User Atsumi
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Answer: To find the lateral surface area of the rectangular prism formed by folding the net, we need to identify the faces that make up the sides of the prism.

In the net, we can see that the two rectangles on the top and bottom will form the bases of the prism, and the four rectangles around the sides will form the lateral faces.

The dimensions of the net are labeled in the diagram as follows:

a = 8 cm

b = 6 cm

c = 10 cm

To find the lateral surface area of the prism, we need to calculate the area of each of the four rectangles around the sides and then add them up.

The dimensions of the rectangles are:

8 cm by 10 cm (on the front and back)

6 cm by 10 cm (on the sides)

So the area of each of the four rectangles is:

8 cm x 10 cm = 80 cm²

6 cm x 10 cm = 60 cm²

Adding up the areas of the four rectangles, we get:

80 cm² + 80 cm² + 60 cm² + 60 cm² = 280 cm²

Therefore, the lateral surface area of the rectangular prism formed by folding the net is 280 square centimeters.

Explanation:

User Sfgroups
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