Year 4

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

Year 4

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

Switch to our new maths teaching resources

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

Play new resources video

Lesson details

Key learning points

  1. 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.

Loading...

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.
Correct answer: An apex is the vertex at the top of the shape.
Q2.
What is the difference between a square-based pyramid and a triangular-based pyramid?
Correct answer: A square-based pyramid has 5 faces whereas a triangular-based pyramid has 4 faces.
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?
Correct answer: A sphere has 1 face, no edges and no vertices.
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?
Correct answer: A cone
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?
Correct answer: Cube
Cuboid
Hexagonal prism
Triangular prism

5 Questions

Q1.
How many edges does a triangular prism have?
5
7
8
Correct answer: 9
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.
Correct answer: True- they both have 12 edges.
Q3.
Identify one of the differences between a triangular prism and a triangular-based pyramid.
Correct answer: A triangular prism has 2 faces which are triangles and 3 faces which are rectangles whereas a triangular-based pyramid has 4 triangular faces.
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
Correct answer: Cylinder
Sphere
Q5.
'I have 8 faces and 12 vertices. I also have 18 edges.' What am I?
Correct answer: Hexagonal prism
Octagonal prism
Pentagonal prism
Triangular prism