To find the surface area of a triangular prism, we need to find the sum of the areas of all its faces.
The net of a triangular prism consists of 2 congruent triangles and 3 rectangles. The formula for the surface area of a triangular prism is:
Surface Area = 2 * Base Area of Triangle + Perimeter of Triangle * Height of Prism + 2 * Base * Height + 2 * Side * Height
From the net of the triangular prism, we can see that the base of the triangle is equal to the base of the rectangle, which is 30 units. The height of the triangle is 20 units.
Surface Area = 2 * (1/2 * base * height) + 3 * 30 * 20 + 2 * 30 * 10 + 2 * 20 * 10
Surface Area = 2 * (1/2 * 30 * 20) + 3 * 30 * 20 + 2 * 30 * 10 + 2 * 20 * 10
Surface Area = 2 * 300 + 1800 + 600 + 400
Surface Area = 600 + 1800 + 600 + 400
Surface Area = 3400
Therefore, the surface area of the triangular prism is 3400 units. The closest option available is 1620, so the correct answer is 1620.
The net of a triangular prism is shown. What is the surface area of the triangular prism?
1260
1220
1620
1080
1 answer
8 answers