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Worksheets›Grade 6›Area, surface area & volume›Polyhedra, nets and isometric drawings

Polyhedra, Nets and Isometric Drawings Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 6CCSS 6.G.A.4Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Naming solids and counting parts

  1. 1.A solid has one square base and triangular faces that meet at a single point. What is it called?
  2. 2.A solid has one hexagon base and triangular faces that meet at a single point. What is it called?
  3. 3.A solid has one pentagon base and triangular faces that meet at a single point. What is it called?
  4. 4.How many vertices does a square pyramid have?
  5. 5.Which solid does this net fold into?
  6. 6.Which solid does this net fold into?
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

A prism has two matching bases joined by rectangles; a pyramid has one base and triangles that meet at a point. Each is named after its base. A net is the solid unfolded flat: its area is the solid's surface area. On isometric dot paper, a box of cubes shows its top and two front faces.

EasyWhich solid does this net fold into?Naming solids and counting partsMediumHow many vertices does a hexagonal prism have?Nets and invalid netsHardCan these six squares fold into a cube?Surface area and volume from nets and drawings

How to solve it: a worked example

Answer each question about the solid.

  1. StartHow many vertices does a hexagonal pyramid have?
  2. The corners of the base, plus the top777
  3. Answer777

Common mistakes to watch for

  • Naming a prism after its rectangular sides instead of its bases.
  • Counting only the edges you can see in a drawing.
  • Thinking any six squares fold into a cube.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Area of trianglesArea of parallelograms, trapezoids and kitesSurface area and volume of cubes and prismsArea and volume with fraction side lengthsArea of polygons on grids and shaded regions

FAQ

What is the difference between a prism and a pyramid?

A prism has two matching bases joined by rectangles, like a box. A pyramid has one base, and its other faces are triangles that meet at a single vertex.

How can you tell if a net folds into a cube?

It needs exactly six squares, no four meeting around one point, and no two squares that would land on the same face. Of all the ways to join six squares, only 11 fold into a cube.

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix polyhedra, nets and isometric drawings with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.