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Question

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

(1 point)
Responses

779 square meters
779 square meters

790 square meters
790 square meters

768 square meters
768 square meters

822 square meters
822 square meters
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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 all the individual faces and then add them up.

The net of the triangular prism consists of 5 faces: 2 triangular bases and 3 rectangular lateral faces.

The area of each triangular base can be calculated using the formula: (1/2) * base * height
= (1/2) * 20 * 8
= 80 square meters for each triangular base

The area of each rectangular lateral face can be calculated using the formula: length * width
= 10 * 20
= 200 square meters for each rectangular lateral face

The total surface area is the sum of all 5 faces:
2 * 80 (triangular bases) + 3 * 200 (rectangular lateral faces)
= 160 + 600
= 760 square meters

Therefore, the correct answer is 760 square meters.