Mathness!Math Worksheets Open the grade 5 sheets

Faces, edges and vertices

Naming solids like prisms, pyramids, cylinders, cones and spheres, and counting their faces, edges, vertices and bases to sort them.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

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.

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.

SolidFacesEdgesVerticesBases
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).

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA5GR12-SP-FIRST at mathness.app
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.

SolidFacesEdgesVerticesBases
square pyramid5851
cube61282
rectangular prism61282
triangular pyramid4641

Curved surfaces

Circle every solid with a curved surface.

Sort the solids

Circle every solid that comes to a point (an apex).

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode MA5GR12-SP-FIRST at mathness.appAnswer key
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.

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Standard

Florida B.E.S.T. MA.5.GR.1.2 · Sort solid shapes like prisms, pyramids, cylinders, cones and spheres by faces, edges and bases.