Functional Skills: 3D Shapes
Functional Skills: 3D Shapes Revision
3D Shapes
2D shapes are flat objects. 3D shapes are solid objects. The surfaces of 3D shapes are called faces.
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.
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:
Functional Skills: 3D Shapes Example Questions
Question 1: What are the dimensions of the following object?
[1 mark]
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]
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]
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
Functional Skills: 3D Shapes Worksheet and Example Questions
3D Shapes L1
FS Level 1NewOfficial PFS3D Shapes L2
FS Level 2NewOfficial PFS[responsive-flipbook id=”pfs_pocket_revision_guide_-_sample”]
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