Question

Use the image to answer the question.

An illustration shows a 2 D net of a triangular prism with all of its sides open and visible. Dimensions are labeled. The parts that are not visible in 3 D view are marked with dashed lines. It appears as a triangle in the middle attached to a rectangle on each side. The sides of two legs of the triangle are each labeled 9 centimeters. The length and width of the rectangles is 17 centimeters and 9 centimeters respectively. Another triangle of vertical height 7.8 centimeters is attached to one of the rectangles, opposite to the middle triangle.

What is the total surface area represented by this net of a triangular prism? Your answer should have two decimal places.

(1 point)
cm2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The total surface area of the triangular prism represented by this net can be calculated by finding the area of each face and adding them together.

The area of the triangular faces:
1. Base triangle: (1/2) x base x height = (1/2) x 9 x 7.8 = 35.1 cm²
2. Top triangle: (1/2) x base x height = (1/2) x 9 x 7.8 = 35.1 cm²

The area of the rectangular faces:
1. Side rectangle: length x width = 17 x 9 = 153 cm²
2. Other side rectangle: length x width = 17 x 9 = 153 cm²

Total surface area = 2 triangle areas + 2 rectangle areas = 35.1 + 35.1 + 153 + 153 = 376.2 cm²

So, the total surface area represented by this net of a triangular prism is 376.2 cm².