4.5 Three dimensional objects

Mathematics

Perimeter, area and volume

Educator section

Memorandum

20.3.2

a) sphere

pyramid

cube

cylinder

triangular prism

cone

hexagonal prism

c) b) 8; 12; 6

c) 5; 8; 5

d) 6; 10; 6

e) 12; 18; 8

f) 6; 9; 5

d) a) right-angled or rectangular prism

b) cube

c) pyramid

d) pentagonal pyramid

e) hexagonal prism

Leaner section

Content

Activity: three dimensional objects [lo 3.1, lo 3.2]

20. THREE DIMENSIONAL OBJECTS

20.1 Did you know?

Two-dimensional objects have only two dimensions, namely length and breadth, that enable us to calculate perimeter and area.

Three-dimensional objects have three dimensions: length, breadth and height, which enable us to calculate volume.

20.2 Did you also know?

20.3 Let us look at a few dimensional objects:

20.3.1 Interesting to know!

Three-dimensional figures are also known as cubic figures. Some figures have four or more faces (see sketch above) and are called polyhedrons.

The word polyhedron is Greek, which means many edges. The first polyhedrons were discovered more than 2 000 years ago by a Greek Mathematician, Euclid.

20.3.2 Work with a friend

a) Match each form with the correct description:

		pyramid
		hexagonal prism
		sphere
		cone
		triangular prism
		cube
		cylinder

b) Now use the above information and group the following items. Then report back to the class, providing reasons why you have grouped the forms in this way.

c) Complete the following table:

	Figure	Vertex	Edge	Face
e.g.a)		8	12	6
b)		__________	__________	__________
c)		__________	__________	__________
d)		__________	__________	__________
e)		__________	__________	__________
f)		__________	__________	__________

d) Can you name all the figures above?

a) _______________________________________________________________

b) _______________________________________________________________

c) _______________________________________________________________

d) _______________________________________________________________

e) _______________________________________________________________

f) _______________________________________________________________

21. Let us take a closer look at three-dimensional objects.

21.1.1 Did you know?

A cube is a square shape. Thus all its edges are equally long.

21.1.2 Look at this cube.

Can you draw this cube from another angle?

Assessment

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.1: We know this when the learner recognises visualises and names geometric figures and solids in natural and cultural forms and geometric settings, including those previously dealt with;

Assessment Standard 3.2: We know this when the learner in contexts that include those that may be used to build awareness of social, cultural and environmental issues, describes and classifies geometric figures and solids in terms of properties.