Respuesta :
Answer:
Rectangular Pyramid
Step-by-step explanation:
Rectangular Pyramid-It has 5 faces, 8 edges and 5 vertices.
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 [tex]$F$[/tex] = 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 [tex]$E$[/tex] = 5
Vertice:
The number of vertices [tex]$V$[/tex] must be 5. Becaue we know by Euler's formula [tex]$V + F - E = 2$[/tex] which holds for any shape that doesn't have any hole within it. And 5 is the only value for [tex]$V$[/tex] that satisfies the equation.
So we can conclude that, the shape must have to be rectangular pyramid.
