Question

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
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Answer 1

To find the surface area of the net of the triangular prism, we need to calculate the area of each individual shape and then add them together.

Surface area of the top rectangle:
Length x Width = 10 cm x 5 cm = 50 cm²

Surface area of the bottom rectangle:
10 cm x 5 cm = 50 cm²

Surface area of the left triangle:
(1/2) x Base x Height = (1/2) x 5 cm x 4 cm = 10 cm²

Surface area of the right triangle:
(1/2) x 5 cm x 4 cm = 10 cm²

Since we have three rectangles, we multiply their area by 3:
(50 cm² + 50 cm² + 10 cm² + 10 cm²) x 3 = 240 cm²

The surface area of the net of the triangular prism is 240 square centimeters.