Worksheets · Geometry

Geometry classifying solids worksheet

A prism has two matching bases joined by rectangles, and is named for the shape of its base. A pyramid has one base and triangles that meet at a point. Cylinders, cones and spheres are the round versions: a cylinder is a prism with circles for bases, and a cone a pyramid on a circle.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying Solids

Date Period

Answer each question about the solid.

  1. Name the solid.
  2. How many faces, edges and vertices does the solid have?
  3. A net has 2 circles and 1 rectangle. What solid does it fold into?
  4. A polyhedron has 6 faces and 12 edges. How many vertices does it have?
  5. Name the solid.
  6. How many faces, edges and vertices does the solid have?
  7. A solid has two congruent triangles for bases, joined by rectangles. Name the solid.
  8. A polyhedron has 8 faces and 12 edges. How many vertices does it have?
  9. Name the solid.
  10. How many faces, edges and vertices does the solid have?
  11. A solid has one pentagon for a base and five triangular faces that meet at a point. Name the solid.
  12. A polyhedron has 6 vertices and 9 edges. How many faces does it have?
  13. Name the solid.
  14. How many faces, edges and vertices does the solid have?
  15. A solid has two congruent hexagons for bases, joined by rectangles. Name the solid.
  16. A polyhedron has 6 faces and 6 vertices. How many edges does it have?
  17. Name the solid.
  18. How many faces, edges and vertices does the solid have?
  19. A cone is sliced straight down through its tip and the center of its base. What shape is the cross-section?
  20. A polyhedron has 6 vertices and 10 edges. How many faces does it have?

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying SolidsAnswer keyVersion 1

Date Period

Answer each question about the solid.

  1. Name the solid.Pentagonal prism
  2. How many faces, edges and vertices does the solid have?F=8, E=18, V=12
  3. A net has 2 circles and 1 rectangle. What solid does it fold into?Cylinder
  4. A polyhedron has 6 faces and 12 edges. How many vertices does it have?8
  5. Name the solid.Triangular prism
  6. How many faces, edges and vertices does the solid have?F=7, E=12, V=7
  7. A solid has two congruent triangles for bases, joined by rectangles. Name the solid.Triangular prism
  8. A polyhedron has 8 faces and 12 edges. How many vertices does it have?6
  9. Name the solid.Sphere
  10. How many faces, edges and vertices does the solid have?F=7, E=12, V=7
  11. A solid has one pentagon for a base and five triangular faces that meet at a point. Name the solid.Pentagonal pyramid
  12. A polyhedron has 6 vertices and 9 edges. How many faces does it have?5
  13. Name the solid.Rectangular prism
  14. How many faces, edges and vertices does the solid have?F=8, E=18, V=12
  15. A solid has two congruent hexagons for bases, joined by rectangles. Name the solid.Hexagonal prism
  16. A polyhedron has 6 faces and 6 vertices. How many edges does it have?10
  17. Name the solid.Cylinder
  18. How many faces, edges and vertices does the solid have?F=4, E=6, V=4
  19. A cone is sliced straight down through its tip and the center of its base. What shape is the cross-section?Triangle
  20. A polyhedron has 6 vertices and 10 edges. How many faces does it have?6

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Faces, edges and vertices of a pentagonal prism

  1. Two pentagons plus five rectangles around the sides: 7 faces.
  2. Five edges on each pentagon and five running between them: 15 edges.
  3. Five corners on each pentagon: 10 vertices.

The answer is F=7, E=15, V=10.

Where students go wrong

Naming a prism for its side faces instead of its base. Every prism has rectangles up the sides; a pentagonal prism is the one whose two ends are pentagons. The other slip is forgetting the hidden edges, drawn dashed, when counting.

Also called naming solids, 3D shapes, faces edges and vertices, prisms and pyramids or identifying solid figures.

What you can put on this worksheet

Name the solid
Name the solid. → Square pyramid
Faces, edges and vertices
How many faces, edges and vertices does the solid have? → F=5, E=9, V=6
Polyhedra, nets and cross-sections
A net has 4 triangles. What solid does it fold into? → Triangular pyramid
Euler's formula
A polyhedron has 7 faces and 15 edges. How many vertices does it have? → 10

Questions about these worksheets

Yes. Every classifying solids sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the classifying solids questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 4: name the solid, faces, edges and vertices, polyhedra, nets and cross-sections and euler's formula. Tick as many as you want and set how many of each, or let it spread them evenly.

Naming a prism for its side faces instead of its base. Every prism has rectangles up the sides; a pentagonal prism is the one whose two ends are pentagons. The other slip is forgetting the hidden edges, drawn dashed, when counting.