Net for a cuboid: Cuboid Net | Teaching geometry, Shapes worksheets, Geometry

Posted on 27 января, 2023 by alexxlab

Cuboid — Development / Nets

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CUBOID — DEVELOPMENT /
NET

V. Ryan
2010-2022

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A cuboid is
shown below. This is a shape occasionally used as packaging. The
example below is a typical mobile phone package.

A development / net of
a similar cuboid is seen below. A cuboid is one of the most basic shapes
for packaging. It is also one of the most common and most efficient. It
can be manufactured easily as it is not complex and has straightforward
folds.
A cuboid is similar to a cube. The edges of a cube are all the
same, whereas a cubiod has some edges that vary in size. Unlike a cube and
edges are not all the same and may vary in size. Packaging for many
products is based on this shape. Can you name any ?

As normal, cardboard
boxes are used to store cuboid shaped packages whilst they are being
transported to the shops.
This type of shape is extremely efficient as
cuboids will fit perfectly into the right size of cardboard box.
The
cardboard boxes can be stored easily as they are a regular shape and they
fit precisely into the storage area of vans and lorries.

Handling of
regular shaped cardboard boxes is also easy.

When being moved around
the factory floor or storage area, the ‘cuboid’ cardboard boxes can be
stacked and handled easily. The cuboid boxes can be arranged in the lorry
/ van so that very little space is left.
The diagram opposite shows how
the boxes are moved by a forklift truck. The boxes can be placed directly
into the storage area of a lorry or van and transported efficiently around
the country.

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What are nets of shapes?

Can you make a 3D shape from its net? We explain how nets are used in the primary classroom to help children learn more about three-dimensional shapes and their properties in a hands-on, constructive way.

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What are nets of shapes?

A net is what a 3D (three-dimensional) shape would look like if it were opened out flat.

For example, here is a cube:

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If this cube were made of paper or card, this is what it would look like opened out flat:

This is called the net of a cube.

When do children learn about nets of shapes?

Children start to learn about 2D and 3D shapes in Year 1, where they are required to identify 2D shapes such as squares, rectangles, circles and triangles (‘flat’ shapes) and 3D shapes such as cubes, cuboids, pyramids and spheres (‘fat’ shapes!).

2D shapes

Circle		Square
Triangle		Rectangle
Pentagon		Hexagon
Octagon		Nonagon

3D shapes

Cube		Cuboid
Sphere		Square-based pyramid
Cylinder		Triangular prism
Pentagonal pyramid		Hexagonal prism

In Year 2, children move onto identifying how many edges, faces and vertices 3D shapes have.

For example: this octagonal-based pyramid has 16 edges, 9 faces and 1 vertex:

They will also be asked to identify 2D shapes on 3D shapes; for example, a cylinder has two circular faces.

In Year 3, children will move onto drawing 2D shapes and making 3D shapes with modelling materials. For example, they may make a cone out of a ready-cut piece of card, a cylinder out of plasticine or a cuboid out of wooden blocks.

There is less emphasis on teaching 3D shapes in Year 4; most of the learning centres around 2D shapes, such as different types of triangles and angles.

In Year 5, children need to be able to recognise a 3D shape from a 2D representation. For example: they may be shown a cuboid and then a variety of nets, then asked to pinpoint which net would make the given cuboid. This is where the learning in earlier years will help them: they will need to know how many rectangles and squares make up the net of a cuboid.

In Year 6, children need to be able to recognise, describe and build simple 3D shapes, including making nets. For example: they may be shown a cube or cuboid and then given some squared paper on which to make a net that will make an identical shape. This activity will involve knowing what shapes are needed to make the net and knowledge of how it will all fit together. Children will also need to measure the sides of the given shape so that they know how long the lines on their net need to be.

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