5 a Name the following solid and provide a rationale for how

5. a. Name the following solid and provide a rationale for how you knew what to name it. (3 points for its name; 2 points for the rationale) a) Name (3 points) b) Rationale (2 points) c) Find the volume of the solid below. (5 points-no explanation required) 5 cm/ 4 cm 5 cm 20 cm 90 6 cm 20 cm 5 cm 5 cm 20 cm 4 90 6 cm

Solution

1) This is a triangular prism.

2) This is because it has 2 triangles of the same dimensions on both sides with rectangular faces.

3) The Volume of the prism = Base Area x Height = Area of the Triangle x height.

Area of the Triangle = (1/2) x triangle base x triangle height = (1/2) x 6 x 4 = 12 cm².

Height of the prism = 20 cm

Therefore the volume = 12 * 20 = 240 cm³.