Identifying the properties of constructed 3-D shapes

Identifying the properties of constructed 3-D shapes

Lesson details

Key learning points

  1. In this lesson, we will recap the key mathematical vocabulary used to describe 3D shapes and use that vocabulary to identify the properties of constructed 3D shapes. We will use the terms face, edge, vertex and apex.

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5 Questions

Q1.
What is similar about triangular-based pyramids and triangular prisms?
Both shapes have 4 vertices.
Both shapes have 5 faces.
Both shapes have 6 edges.
Correct answer: Both shapes have at least two faces which are triangles.
Q2.
What is similar about spheres and cones?
Both shapes have 2 edges.
Correct answer: Both shapes have a curved face.
Both shapes have no edges.
Both shapes have no vertices.
Q3.
What is similar about triangular prisms and cuboids?
Both shapes have 5 faces.
Both shapes have 6 faces.
Correct answer: Both shapes have at least some rectangular faces.
Both shapes have at least some triangular faces.
Q4.
How many vertices does a square-based pyramid have?
4
Correct answer: 5
6
8
Q5.
What are the properties of a hexagonal prism?
10 vertices, 16 edges and 6 faces
Correct answer: 12 vertices, 18 edges and 8 faces
4 vertices, 12 edges and 2 faces
8 vertices, 14 edges and 2 faces

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

Lesson appears in

UnitMaths / 3D Shape