Answer:
C. Rectangular Pyramid
Step-by-step explanation:
Faces:
A rectangular pyramid has a rectangle as its base. So from it's pinnacle to each of the rectangle's edges, there is a triangular face. As the base has 4 sides, it should have 4 such faces. And the base rectangle is also a face. So it has a total of 5 faces.
So, the number of faces  = 5
 = 5
Edges:
And from its pinnacle to 4 base vertice there are 4 edges. And the base rectangle has four edges. So there are a total of 8 edges
So, the number of edges  = 5
 = 5
Vertice:
The number of vertices  must be 5. Becaue we know by Euler's formula
 must be 5. Becaue we know by Euler's formula  which holds for any shape that doesn't have any hole within it. And 5 is the only value for
 which holds for any shape that doesn't have any hole within it. And 5 is the only value for  that satisfies the equation.
 that satisfies the equation. 
So we can conclude that, the shape must have to be rectangular pyramid.