Question

which statements are true regarding the prism? check all that apply
the prism has no vertices
the prism has 9 edges.
the bases of the prism are triangles.
the bases of the prism are rectangles.
the prism has 5 faces

Explanation:

Step1: Analyze the number of vertices

A triangular prism has 6 vertices. So the statement "The prism has no vertices" is false.

Step2: Analyze the number of edges

A triangular prism has 9 edges. So the statement "The prism has 9 edges" is true.

Step3: Analyze the shape of the bases

The bases of a triangular prism are triangles. So the statement "The bases of the prism are triangles" is true and "The bases of the prism are rectangles" is false.

Step4: Analyze the number of faces

A triangular prism has 5 faces (2 triangular bases and 3 rectangular lateral faces). So the statement "The prism has 5 faces" is true.

Answer:

The prism has 9 edges. The bases of the prism are triangles. The prism has 5 faces.