B. 6 faces
Explanation:
A right rectangular prism, also known as a rectangular cuboid, is a three-dimensional shape with rectangular faces. To determine the number of faces on a right rectangular prism, we don't actually need the information about the vertices and edges. This is because the definition of a right rectangular prism already tells us about its faces.
A right rectangular prism has three pairs of parallel, congruent faces:
- It has a pair of front and back faces.
- It has a pair of left and right faces.
- It has a pair of top and bottom faces.
In total, this gives us 3 pairs of faces, which equals 3 x 2 = 6 faces. Therefore, a right rectangular prism has 6 faces regardless of the number of vertices (8) and edges (12) it has. These additional numbers confirm that the shape we are dealing with is indeed a right rectangular prism, as it aligns with the general properties of a six-faced prism commonly found in three-dimensional geometry.
