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3D Shape Nets Worksheet

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3D Shape Nets Worksheet

At low tide, Hugo, Charlotte and Tui are packing supplies for a rock-pool survey. Help them choose and design nets that fold into useful 3D shapes. A net is a flat arrangement of faces that can fold to make a 3D shape. Answer each question; for drawing tasks, make sure your faces join along matching edges.

Spot the Shape

Use the face patterns and properties to identify each solid.

1.A net has six equal squares. When folded, every square becomes one face of the same solid. Which solid does it make?
  • Cube
  • Triangular prism
  • Square-based pyramid
  • Cylinder
2.Hugo finds a net with three rectangles in a strip and a triangle attached to each of two different rectangles. Which solid can this net make?
3.Charlotte sketches four nets. Which description could fold into a square-based pyramid?
  • One square with four triangles, one joined to each side
  • Six equal squares in a cross
  • Two triangles and three rectangles
  • Four rectangles and two circles
4.True or false: Every face of a cube net is a square, and a cube has six faces altogether.
TrueFalse
5.Match each net description to the solid it makes. Net A has six equal squares arranged in a cross. Net B has three rectangles and two triangles. Net C has five faces: one square and four triangles. Write the solid beside A, B and C.
  • Net A: six equal squares arranged in a cross
  • Net B: three rectangles and two triangles
  • Net C: five faces: one square and four triangles
  • Square-based pyramid
  • Cube
  • Triangular prism

Count Faces, Edges and Vertices

Faces are flat surfaces. Edges are where faces meet. Vertices are corners.

6.Tui is checking a cube model. Complete the counts: faces, edges and vertices.
7.A triangular prism has two triangular ends and three rectangular side faces. How many faces does it have altogether?
8.A cube-shaped sample box has a total surface area of 96 cm². Its six faces are equal squares. What is the area of one face? Show your calculation.

Design a Net

Plan a net before imagining it folded. Keep faces connected edge to edge.

9.Draw a net for a square-based pyramid in the space. Include and label the square base and all triangular faces.
10.Hugo wants to make a closed rectangular-prism container. Name the number and types of faces she needs in its net.
11.Explain how a net helps you work out the surface area of a 3D shape.

3 printable pages

  • 3D Shape Nets Worksheet, page 1 of 3: Spot the Shape

    Page 1

  • 3D Shape Nets Worksheet, page 2 of 3: Count Faces, Edges and Vertices

    Page 2

  • 3D Shape Nets Worksheet, page 3 of 3: Design a Net

    Page 3

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