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

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.

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Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the definition of the 'apex' of a 3-D shape?

An apex is the corner where edges of the 3-D shape meet.An apex is a flat or curved surface of the 3-D shape.An apex is the vertex at the top of the shape.An apex is the corner of a 2-D shape.

1/5

Q2.What is the difference between a square-based pyramid and a triangular-based pyramid?

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 one curved face whereas a triangular-based pyramid only has flat faces.A square-based pyramid has an apex whereas a triangular-based pyramid does not have an apex.

2/5

Q3.What is unique about a sphere?

A sphere has no faces, no edges and no vertices.A sphere has no faces, no edges and 1 vertex.A sphere has no faces, 1 edge, and no vertices.A sphere has 1 face, no edges and no vertices.

3/5

Q4.Which of the following 3-D shapes has more faces than vertices?

A coneA triangular-based pyramidA square-based pyramidA cube

4/5

Q5.Which of the following 3-D shapes has faces which are always the same shape?

CuboidCubeHexagonal prismTriangular prism

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the definition of the 'apex' of a 3-D shape?

An apex is the corner where edges of the 3-D shape meet.An apex is a flat or curved surface of the 3-D shape.An apex is the vertex at the top of the shape.An apex is the corner of a 2-D shape.

1/5

Q2.What is the difference between a square-based pyramid and a triangular-based pyramid?

2/5

Q3.What is unique about a sphere?

A sphere has no faces, no edges and no vertices.A sphere has no faces, no edges and 1 vertex.A sphere has no faces, 1 edge, and no vertices.A sphere has 1 face, no edges and no vertices.

3/5

Q4.Which of the following 3-D shapes has more faces than vertices?

A coneA triangular-based pyramidA square-based pyramidA cube

4/5

Q5.Which of the following 3-D shapes has faces which are always the same shape?

CuboidCubeHexagonal prismTriangular prism

5/5

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

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

Quiz to be completed following lesson on: 'Problem solving using 2-D representations of 3-D shapes'.

Q1.How many edges does a triangular prism have?

5789

1/5

Q2.'Cubes and cuboids have the same number of edges.' Is this statement true or false?

True- they both have 10 edges.True- they both have 12 edges.False- cubes have 10 edges and cuboids have 12 edges.False- it depends on the size of the cube and cuboid.

2/5

Q3.Identify one of the differences between a triangular prism and a triangular-based pyramid.

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

3/5

Q4.'I have 2 flat surfaces and 1 curved surface. I also have 2 curved edges.' What am I?

ConeSphereCylinderCube

4/5

Q5.'I have 8 faces and 12 vertices. I also have 18 edges.' What am I?

Pentagonal prismOctagonal prismHexagonal prismTriangular prism

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >

Quiz:

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

Quiz to be completed following lesson on: 'Problem solving using 2-D representations of 3-D shapes'.

Q1.How many edges does a triangular prism have?

5789

1/5

Q2.'Cubes and cuboids have the same number of edges.' Is this statement true or false?

True- they both have 10 edges.True- they both have 12 edges.False- cubes have 10 edges and cuboids have 12 edges.False- it depends on the size of the cube and cuboid.

2/5

Q3.Identify one of the differences between a triangular prism and a triangular-based pyramid.

3/5

Q4.'I have 2 flat surfaces and 1 curved surface. I also have 2 curved edges.' What am I?

ConeSphereCylinderCube

4/5

Q5.'I have 8 faces and 12 vertices. I also have 18 edges.' What am I?

Pentagonal prismOctagonal prismHexagonal prismTriangular prism

5/5

Lesson summary: Problem solving using 2-D representations of 3-D shapes

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

Unit quizzes are being retired in August 2023

Intro quiz - Recap from previous lesson

Unit quizzes are being retired in August 2023

Intro quiz - Recap from previous lesson

Video

Worksheet

Unit quizzes are being retired in August 2023

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

Unit quizzes are being retired in August 2023

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

Lesson summary: Problem solving using 2-D representations of 3-D shapes

It looks like you have not completed one of the quizzes.

Time to move!

The next lesson in: 3D Shape is: Consolidating 3D shape learning

Browse Oak's lessons:

The next lesson in:
3D Shape
is:
Consolidating 3D shape learning