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3D Shape Nets

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3D Shape Nets

A team is designing cardboard models for a tiny pop-up shop. Use the written descriptions and clues to work out which 3D shapes the flat pieces will make. A net is a flat pattern that folds to form a 3D shape. Solid edges show where pieces meet; dashed edges show fold lines. You do not need scissors or glue.

Spot the faces

Use each written description to count the flat faces that will make the finished solid.

1.Net A has six equal squares: four squares in a row, with one square attached above and one below the second square. Which solid does it make?

Cube
Triangular prism
Square-based pyramid
Cylinder

2.A rectangular-prism net has six rectangles. How many rectangular faces will the finished solid have?

3.Net B has three rectangles in a strip and a matching triangle attached at each end of the strip. Name the solid and state how many faces it has altogether.

Choose the right net

The shop team wants each model to fold neatly, with no missing faces or pieces overlapping.

4.A square-based pyramid has one square base and four triangular side faces. Which description could be its net?

One square with four triangles attached, one to each side
Two squares and four triangles
Four rectangles and two triangles
One circle and one curved rectangle

5.True or false? A cylinder net is made from two circles and one rectangle. The rectangle wraps around to make the curved surface.

TrueFalse

6.A cone has one circular base and one curved surface. Which two pieces appear in a typical cone net?

7.Arjun draws a net for a triangular prism with two triangles and two rectangles. What piece is missing?

One more rectangle
One more triangle
Two circles
A square

Net detective

Use the clues to explain how flat faces join to make a solid.

8.A box for the shop has a square top and bottom and four rectangular sides. What is the shape of its top and bottom, and what 3D shape is the box?

9.A net made from six equal squares can fold into a cube. How many edges does the cube have?

10.Explain why six squares arranged in a straight line would not make a cube net when folded.

11.Design challenge: sketch a possible net for a cube using six equal squares. Describe where you would place the squares so they can fold without overlapping.