# 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**.

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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:

## 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 PFS### 3D Shapes L2

FS Level 2NewOfficial PFS[responsive-flipbook id=”pfs_pocket_revision_guide_-_sample”]

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