Identify the following 3-D object.

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cylinder

rectangular pyramid

right triangular prism

right rectangular prism

answer is C.

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Detailed Solution

Concept: Above that the given shape is a polyhedron with 6 vertices, 9 edges, and 5 faces, consider the properties of a right triangular prism when answering this question. Select the one that has a shape that most closely matches a polyhedron with these characteristics.
As can be seen, the three-dimensional object in question has three rectangular faces that are perpendicular to the triangular faces, as well as two parallel and congruent triangular faces.
The polyhedron in question thus has 6 vertices, 9 edges, and 5 faces.
As is common knowledge, a right triangular prism is a prism with three rectangular faces that are perpendicular to the triangular faces and two parallel and congruent triangle faces. The bases may also be referred to as the top and bottom if they are horizontal (faces).
All of the specified 3-D object's characteristics line up with those of the appropriate triangular prism.
As a result, the three-dimensional object is a right triangle prism.
Hence, option 3 is correct.

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