Question

Faces:
Edges:
Vertices:

Answer 1

`Faces~:~5\\Edges~:~8\\Vertices~:~5`

Concept:

Here, we need to distinguish between face, edge, and vertex (plural: vertices)

A face is a single flat surface

An edge is a line segment between faces

A vertex is a corner

Please refer to the attachment below for a visual understanding

Solve:

Count the number of faces

• One on the bottom
• Four connecting to each side of the square at the bottom

1 + 4 =
`\Large\boxed{5~faces}`

Count the number of edges

• Four on the bottom that shape the square
• Four on the sides that shape the triangles

4 + 4 =
`\Large\boxed{8~edges}`

Count the number of vertices

• Four on the bottom that surrounds the square
• One on the top where triangles intersect

4 + 1 =
`\Large\boxed{5~vertices}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

Below.

Explanation:

This is a square based pyramid.

There are:

5 Faces (one on the base and 4 side faces)

8 edges. ( 4 on base and 4 on side)

5 vertices (4 on the base and one on the top)