Year 4

# Problem solving using 2-D representations of 3-D shapes

Year 4

# Problem solving using 2-D representations of 3-D shapes

## Slide deck

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## Lesson details

### Key learning points

- In this lesson, we will recap the key vocabulary used to describe 3D shapes before we apply our understanding of 3D shapes to solve a problem which involves a 3D shape made up of cubes that needs painting, with associated costs.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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### 5 Questions

Q1.

1. What is the definition of the 'apex' of a 3-D shape?

An apex is a flat or curved surface of the 3-D shape.

An apex is the corner of a 2-D shape.

An apex is the corner where edges of the 3-D shape meet.

Q2.

What is the difference between a square-based pyramid and a triangular-based pyramid?

A square-based pyramid has 6 faces whereas a triangular-based pyramid has 5 faces.

A square-based pyramid has an apex whereas a triangular-based pyramid does not have an apex.

A square-based pyramid has one curved face whereas a triangular-based pyramid only has flat faces.

Q3.

What is unique about a sphere?

A sphere has no faces, 1 edge, and no vertices.

A sphere has no faces, no edges and 1 vertex.

A sphere has no faces, no edges and no vertices.

Q4.

Which of the following 3-D shapes has more faces than vertices?

A cube

A square-based pyramid

A triangular-based pyramid

Q5.

Which of the following 3-D shapes has faces which are always the same shape?

Cuboid

Hexagonal prism

Triangular prism

### 5 Questions

Q1.

How many edges does a triangular prism have?

5

7

8

Q2.

'Cubes and cuboids have the same number of edges.' Is this statement true or false?

False- cubes have 10 edges and cuboids have 12 edges.

False- it depends on the size of the cube and cuboid.

True- they both have 10 edges.

Q3.

Identify one of the differences between a triangular prism and a triangular-based pyramid.

A triangular prism has fewer vertices than a triangular-based pyramid.

A triangular prism is always bigger than a triangular-based pyramid.

A triangular-based pyramid is always bigger than a triangular prism.

Q4.

'I have 2 flat surfaces and 1 curved surface. I also have 2 curved edges.' What am I?

Cone

Cube

Sphere

Q5.

'I have 8 faces and 12 vertices. I also have 18 edges.' What am I?

Octagonal prism

Pentagonal prism

Triangular prism