A triangular prism. The rectangular sides are 2.5 millimeters by 8 millimeters, 8 millimeters by 6.5 millimeters, and 8 millimeters by 6 millimeters. The 2 triangular sides have a base of 2.5 millimeters and height of 6 millimeters. The triangular prism shown has triangular face(s) and lateral face(s). The area of one triangular face is mm2. The surface area of the triangular prism is mm2.

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Answer:

Step-by-step explanation:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm2.

The surface area of the triangular prism is 135 mm2.

The total surface area of the triangular prism is 135 square mm.

What is a triangular prism?

A prism with a triangular base is called a triangular prism.

Dimensions of lateral faces are:

1) 2.5 mm by 8 mm

So the area of this face = 2.5*8 =20 square mm

2)8 mm by 6.5 mm

So the area of this face = 8*6.5 =52 square mm

3)8 mm by 6 mm

So the area of this face = 8*6 =48 square mm

So lateral surface area of prism = 20+52 +48 = 120 square mm

Dimensions of triangular bases are:

1)  2.5 mm by 6 mm

So the area of one base = 0.5*2.5*6 =7.5 square mm

2)2.5 mm by 6 mm

So the area of another base =0.5*2.5*6 =7.5 square mm

So, the area of the two bases =7.5+7.5 =15 square mm

Total surface area =  lateral surface area + base area

Total surface area =120+15 =135 square mm

Hence, the total surface area of the triangular prism is 135 square mm.

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