3-dimensional solids have faces, edges and vertices. Volume is the space contained within a 3D solid. Surface area is the sum of the area of each face. 3D solids can be viewed from different points.
A vertex is a corner where edges meet. The plural is vertices.
A prism is a 3D solid with a uniform cross-section. The two end faces of a prism are identical in shape and size. If you make a cut parallel to the ends, the cross-section exposed will be the same shape and size as the ends.
A pyramid has a polygon as its base and the rest of its faces are triangles that meet at the same vertex.
Here are some common 3D solids.
Name
Faces
Edges
Vertices
Cube
6 (all squares)
12
8
Cuboid
6 (all rectangles)
12
8
Square-based pyramid
5
8
5
Triangular-based pyramid
4
6
4
Name
Cube
Faces
6 (all squares)
Edges
12
Vertices
8
Name
Cuboid
Faces
6 (all rectangles)
Edges
12
Vertices
8
Name
Square-based pyramid
Faces
5
Edges
8
Vertices
5
Name
Triangular-based pyramid
Faces
4
Edges
6
Vertices
4
Some 3D solids, such as the cone and the cylinder, have faces and curved surfaces.
Some 3D solids, like the sphere, just have a curved surface.