Functional Skills: 3D Shapes

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3D Shapes

2D shapes are flat objects. 3D shapes are solid objects. The surfaces of 3D shapes are called faces.

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Dimensions

2D shapes have 2 dimensions – e.g. length and width.

3D shapes have 3 dimensions – e.g. length, width and height.

 

e.g. The container below is 12 m long, 5 m wide and 3 m high.

The dimensions of this container are 12 m by 5 m by 3 m, which can also be written as 12 m \times \, 5 m \times \, 3 m

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Recognising 3D Shapes

You need to be able to identify and learn the names of the following 3D shapes.

Note: A prism is a 3D shape in which 2 identical 2D shapes are joined together with rectangular faces. So, a cube and a cuboid are also prisms. A cylinder is similar to a prism, because its two end faces are identical – they are circles.

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Example: Working with Dimensions

Leonardo is designing a box to hold 5 DVD cases.

Each DVD case is 14 cm long, 1.4 cm wide and 19 cm high.

Sketch a box that could hold the DVD cases. Give the dimensions.

[2 marks]

Each DVD is 1.4 cm wide. It would make sense to put them side by side in a row, such as:

Each DVD case is 1.4 cm wide, therefore 5 DVD cases will be:

1.4 \times 5 = 7 cm wide

Therefore, the box needs to be at least 7 cm wide.

The DVD cases are 14 cm long and 19 cm high, so the box needs to be at least 14 cm long and 19 cm high.

 

Therefore, you could sketch a box (making sure to label the dimensions), such as:

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Functional Skills: 3D Shapes Example Questions

Question 1: What are the dimensions of the following object?

[1 mark]

 

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The dimensions are 8 mm by 15 mm by 2 mm, or 8 mm \times \, 15 mm \times \, 2 mm

Question 2: What type of shape is the following 3D object?

[1 mark]

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There are two identical faces joined by rectangular faces. Therefore the 3D object is a prism.

Question 3: Jamie is packing 6 identical books into a box. He lays them down and stacks them. Each book is 25 cm long, 35 cm high and 8 cm wide.

What is the minimum height the box needs to be?

[2 marks]

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If the books are stacked on top of each other laid down, with 8 cm now being the height of the book laid down, then the minimum height of the box must be

6 \times 8 = 48 cm

Additional Resources

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Exam Tips Cheat Sheet

FS Level 2
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Formula Booklet

FS Level 2

Specification Points Covered

L1.25 – Interpret nets of simple 3-D shapes

L2.20 – Understand and use common 2-D representations of 3-D objects

L2.21 – Draw 3-D shapes to include plans and elevations

Functional Skills: 3D Shapes Worksheet and Example Questions

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3D Shapes L1

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3D Shapes L2

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