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)

Answer 1

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

The net model consists of:
- 2 rectangles with a length of 10 cm and a width of 5 cm, so the area of each rectangle is 10 cm * 5 cm = 50 cm².
- 2 triangles with a base of 5 cm and a height of 4 cm, so the area of each triangle is 0.5 * base * height = 0.5 * 5 cm * 4 cm = 10 cm².

Adding all the areas together, we get:
2(rectangles) + 2(triangles) = 2(50 cm²) + 2(10 cm²) = 100 cm² + 20 cm² = 120 cm².

Therefore, the surface area of the net of the triangular prism is 120 cm².