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3D Shape Nets

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3D Shape Nets

Mei is making cardboard packages for a weekend market. Explore which flat nets can fold into 3D shapes. Look carefully at the faces, then solve each challenge. You do not need scissors or a real model.

Spot the faces

A net is a flat arrangement of faces that can fold to make a 3D shape.

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1.Count the square faces in the cube net. How many faces will the folded cube have?

2.A cube-shaped gift box has all faces the same shape. Which statement is correct?

It has 6 square faces.
It has 6 triangular faces.
It has 4 rectangular faces.

3.Mei has a net with two squares and four rectangles. What could it fold into?

Match the net to the package

Use what you know about faces to help Mei choose packaging for different market goods.

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4.Count the faces in the square pyramid net. How many faces will the finished pyramid have altogether?

5.A party-hat-shaped package has one circular base and one curved surface. Which net would make it: a circle and a rectangle, or a circle and a curved sector?

6.True or false? A cylinder net has two circles and one rectangle. The rectangle wraps around to make the curved surface.

TrueFalse

7.Fill in the blanks: A cuboid net has 6 flat faces. Its faces are rectangles, and opposite faces are in size and shape.

8.Mei wants a net for a cube-shaped lolly box. She draws six squares, but one square is not connected to any other square. Explain why this cannot fold into one cube.

9.Design a net for a different cube package. Draw six joined squares in an arrangement you think will fold into a cube. Label one face ‘top’.