Nets of 3-D shapes - Orchids The International School
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Geometry

Nets of 3-D shapes

  • A three-dimensional shape can be made by folding 2D shapes.
  • When a three-dimensional solid is unfolded a two-dimensional shape is obtained.
  • Those 2D solids which are used to make a 3D shape are called .

Net of cube

  • A cube has 6 faces.
  • Each face of the cube is a square. Therefore, when a cube is unfolded it will give 6 squares.
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  • There are 11 nets of a cube.
  • The figure of each net is shown below.
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    Not every net which has 6 square faces can be folded into a cube.

    Examples:

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Net of cuboid

  • A cuboid has 6 faces.
  • Each face of the cuboid is a rectangle. Therefore, when a cuboid is unfolded it will give 6 rectangles.
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  • There are 54 different nets of the cuboid.
  • Few nets of the cuboid are shown below.
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    Not every net which has 6 rectangular faces can be folded into a cuboid.

    Examples:

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Net of cylinder

  • A cylinder has 3 faces.
  • Two of the faces are circular and one is rectangular.
  • Therefore, when a cylinder is unfolded it will give 2 circles and 1 rectangle.
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    The figure given below cannot be folded into a cylinder.

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Net of cone

  • A cone has 2 faces.
  • One curved face and one flat face.
  • A net of cones has two parts:
  • One is the circle which represents the flat part.
  • The second one is the sector which represents the curved part.
  • Therefore, when a cone is unfolded it will give one circle and one sector.
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The net given below cannot be folded to a cone.

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