Count faces (flat sides), edges (where two faces meet) and vertices (corners), including hidden ones. A prism has two matching bases; a pyramid has one base and a point.
facea flat side of a solid
edgea line where two faces meet
vertexa corner where edges meet (plural: vertices)
basethe face a prism or pyramid is named for
Watch for: Missing the faces, edges and corners hidden at the back of the drawing. Saying a triangular prism has 3 faces: its 2 triangles and 3 rectangles make 5. Calling a pyramid a prism, or counting a cone's curved surface as a face.
At home: Gather a cereal box, a can, a ball and a party hat. Count each one's faces, edges and corners, then sort them into prisms, pyramids and curved solids.
Sample sheet and answer key
Luna's Space Adventure
Grade 5 · Faces, edges and vertices · MA.5.GR.1.2
NameDate
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Count them up
Count every face, edge and vertex, even the ones you can't see.
Solid
Faces
Edges
Vertices
Bases
square pyramid
cube
rectangular prism
triangular pyramid
Curved surfaces
Circle every solid with a curved surface.
Sort the solids
Circle every solid that comes to a point (an apex).
Sheet
Luna's Space Adventure
Grade 5 · Faces, edges and vertices · MA.5.GR.1.2
Answer key
Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!
Count them up
Count every face, edge and vertex, even the ones you can't see.
Solid
Faces
Edges
Vertices
Bases
square pyramid
5
8
5
1
cube
6
12
8
2
rectangular prism
6
12
8
2
triangular pyramid
4
6
4
1
Curved surfaces
Circle every solid with a curved surface.
Sort the solids
Circle every solid that comes to a point (an apex).
Answer key
New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.