Worksheets · Pre-Algebra

Classifying solids worksheet for Pre-Algebra

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.

Also taught in Geometry, at its own level and with its own examples.

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Pick more than one for a sheet that mixes them.

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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

    Give the most specific name for the solid.
  2. Give the most specific name for the solid.
  3. Give the most specific name for the solid.
  4. Give the most specific name for the solid.
  5. Give the most specific name for the solid.

  1. Count faces, edges and vertices

    How many faces, edges and vertices does the solid have?
  2. Count the faces, edges and vertices of the solid.
  3. Give the number of faces, edges and vertices of the solid shown.
  4. How many faces, edges and vertices does this solid have?
  5. Find the number of faces, edges and vertices of this solid.

  1. Name solids and their properties

    A net has 2 squares and 4 rectangles that are not squares. What solid does it fold into?
  2. A solid has two congruent pentagons for bases, joined by rectangles. Name the solid.
  3. A solid has one square base and four triangular faces that meet at a point. Name the solid.
  4. A solid has two congruent squares for bases, joined by four rectangles that are not squares. Name the solid.
  5. A net has 2 hexagons and 6 rectangles. What solid does it fold into?

  1. Use Euler's formula

    Can a polyhedron have 12 faces, 8 vertices and 18 edges?
  2. A polyhedron has 6 more edges than faces. How many vertices does it have?
  3. A polyhedron has 20 more edges than vertices. How many faces does it have?
  4. Can a polyhedron have 38 faces, 23 vertices and 60 edges?
  5. A polyhedron has as many faces as 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

    Give the most specific name for the solid.Triangular pyramid
  2. Give the most specific name for the solid.Square pyramid
  3. Give the most specific name for the solid.Pentagonal pyramid
  4. Give the most specific name for the solid.Triangular prism
  5. Give the most specific name for the solid.Triangular prism

  1. Count faces, edges and vertices

    How many faces, edges and vertices does the solid have?F=8, E=18, V=12
  2. Count the faces, edges and vertices of the solid.F=7, E=12, V=7
  3. Give the number of faces, edges and vertices of the solid shown.F=7, E=15, V=10
  4. How many faces, edges and vertices does this solid have?F=6, E=10, V=6
  5. Find the number of faces, edges and vertices of this solid.F=7, E=15, V=10

  1. Name solids and their properties

    A net has 2 squares and 4 rectangles that are not squares. What solid does it fold into?Rectangular (square) prism
  2. A solid has two congruent pentagons for bases, joined by rectangles. Name the solid.Pentagonal prism
  3. A solid has one square base and four triangular faces that meet at a point. Name the solid.Square pyramid
  4. A solid has two congruent squares for bases, joined by four rectangles that are not squares. Name the solid.Rectangular (square) prism
  5. A net has 2 hexagons and 6 rectangles. What solid does it fold into?Hexagonal prism

  1. Use Euler's formula

    Can a polyhedron have 12 faces, 8 vertices and 18 edges?Yes: V−E+F=2
  2. A polyhedron has 6 more edges than faces. How many vertices does it have?8
  3. A polyhedron has 20 more edges than vertices. How many faces does it have?22
  4. Can a polyhedron have 38 faces, 23 vertices and 60 edges?No: V−E+F=1, not 2
  5. A polyhedron has as many faces as 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
Give the most specific name for the solid. — a square pyramid → Square pyramid
Faces, edges and vertices
Find the number of faces, edges and vertices of this solid. — a triangular prism → F=5, E=9, V=6
Polyhedra, nets and cross-sections
A net has 6 squares. What solid does it fold into? → Cube
Euler's formula
A polyhedron has 5 faces and 9 edges. How many vertices does it have? → 6
Trapezoidal prisms and rectangular pyramids too
Give the most specific name for the solid. — a cube → Cube
Name the solid from its net
Give the most specific name for the solid this net folds into. — a net of a solid → Triangular pyramid

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.

Pre-Algebra is usually taken around 7th or 8th 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 6: name the solid, faces, edges and vertices, polyhedra, nets and cross-sections, euler's formula, trapezoidal prisms and rectangular pyramids too and name the solid from its net. 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.