Question

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.

Answer 1

1. B

2. C

3. A

4. C

Explanation:

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Answer 2

The triangular prism shown has 2 triangular faces and 3 lateral faces.

• The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.

The area of one triangular face is 7.5 square millimeters.

• Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = 7.5 square millimeters

The surface area of the triangular prism is 135 square millimeters.

• Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters

• Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = 135 square millimeters