Using the net of the triangular prism, what is its surface area?

10 mi.
26 mi.
24 mi.
10 mi.

1 answer

The surface area of a triangular prism includes the area of the two triangular bases and the three rectangular faces.

The area of one triangular base is 1/2 * base * height, which is 1/2 * 4 * 3 = 6 square units. Since there are two triangular bases, the total area of the triangular bases is 6 * 2 = 12 square units.

The area of each rectangular face is length * width. In this case, the length of the rectangular faces is 4 units and the width is 3 units. There are three rectangular faces, so the total area of the three rectangular faces is 4 * 3 * 3 = 36 square units.

Adding the area of the triangular bases and the three rectangular faces gives a total surface area of 12 + 36 = 48 square units.

So, the surface area of the triangular prism is 48 square units, which is not one of the options provided.
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