Use the image to answer the question.

An illustration shows a net version of a triangular prism. The net model shows 3 rectangles top to bottom. Identical triangles are attached to the left and right of the middle rectangle. Parts are labeled with measurements. The top and bottom rectangles have a length measuring 10 centimeters and a width measuring 5 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 4 centimeters. The base of the triangle measures 5 centimeters. The base shares an edge with the middle rectangle.

What is the surface area of the net of the triangular prism?

(1 point)
square centimeters

1 answer

The surface area of the net of the triangular prism can be calculated by summing the areas of all the individual shapes.

The top and bottom rectangles have a surface area of 10 cm x 5 cm = 50 square cm each, for a total of 100 square cm.

The middle rectangle, which forms the lateral faces of the prism, has a surface area of 10 cm x 4 cm = 40 square cm.

Each triangular face has a surface area of 1/2 x base x height = 1/2 x 5 cm x 4 cm = 10 square cm, with a total of 20 square cm for both triangles.

Adding all these together, the surface area of the net of the triangular prism is 100 cm² + 40 cm² + 20 cm² = 160 cm².

Therefore, the surface area of the net of the triangular prism is 160 square centimeters.
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