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