Topics
12. Solids
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AustraliaNSW
Stage 2

PRACTICE: 3D shapes

Lesson
Practice
Lesson

Practice

Let's go over some of the solids we've looked at. These include:

  •  prisms 
  •  pyramids 
  •  cones 
  •  cylinders 
  •  spheres 

Examples

Example 1

Here is a rectangular prism.

An image of a rectangular prism.
a

How many faces does it have?

Worked Solution
Create a strategy

Faces are the flat sides of a solid.

Apply the idea

It has 6 faces.

b

How many vertices does it have?

Worked Solution
Create a strategy

Vertices are the corners where edges meet.

Apply the idea

It has 8 vertices.

c

How many edges does it have?

Worked Solution
Create a strategy

An edge is the line where two faces meet.

Apply the idea

It has 12 edges.

Example 2

Here is a square pyramid:

A square pyramid.
a

How many faces does it have?

Worked Solution
Create a strategy

Faces are the flat sides of a solid object.

Apply the idea

It has 5 faces: the 4 triangles and the 1 square base.

b

How many vertices does it have?

Worked Solution
Create a strategy

Vertices are the corners where two edges meet.

Apply the idea

It has 5 vertices.

c

How many edges does it have?

Worked Solution
Create a strategy

An edge is where two faces meet.

Apply the idea

It has 8 edges.

Example 3

Here is a cone.

A cone.
a

How many faces does it have?

Worked Solution
Create a strategy

Faces are the flat sides of a solid object.

Apply the idea

It has 2 faces: the 1 triangular shape and 1 circle base.

b

How many vertices does it have?

Worked Solution
Create a strategy

In a cone, the vertex is the top point.

Apply the idea

It has 1 vertex.

c

How many edges does it have?

Worked Solution
Create a strategy

An edge is a straight line segment where two faces meet.

Apply the idea

It has 1 curved edge around the circle.

Idea summary
  • Prisms and pyramids have only flat faces.
  • Cones, spheres and cylinders have at least one curved face.

Outcomes

MA2-14MG

makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features

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