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Grade 6

3-d dreams

Module 4

Introduction to three-dimensional objects

You have already been introduced to a variety of two-dimensional shapes: a square, a rectangle and a circle.

Assignment 1:

Look at the sketch below. can you possibly identify three more two-dimensional shapes except those mentioned above? use your colouring-pencils and copy the three shapes in three different colours.

[lo 1.12]

These shapes are , and .

Let’s have a look at the characteristics of these shapes to see if there is a similarity between these figures and the figures above.

Assignment 2:

Write the name/names only of the figure/figures that has/have the characteristic listed below.

[lo 1.12]

All four sides are equal in length

  1. Has / have four rectangles
  2. Has / have two obtuse angles and two acute angles
  3. Has / have two long sides and two short sides
  4. One pair of opposite sides are parallel
  5. Both pairs of opposite sides are parallel
  6. The circumference cannot be measured with a ruler

Assignment 3a:

Let’s try to draw parallelograms and rhombuses. for this you need a 30°/ 60° grid (annexure 1)

[lo 1.12]

Place the grid under the page, turn the page sideways and draw a parallelogram of 50 mm by 30 mm. Can you draw the parallelogram in at least two different ways?

Assignment 3b:

Using the 30°/ 60° grid, draw a rhombus of which each of the sides is 40 mm. try to do it in two different ways.

[lo 1.12]


When we connect lines, flat planes or shapes are formed. When we connect four or more flat planes, we have a three-dimensional object.

If you put six squares together, you will find a kind of box, which we call a CUBE. A cube has three dimensions, namely length, breadth and height . A cube has six planes.

Please Note:

The sides of the cube that we cannot see are indicated by a broken line (dotted line). Remember that the broken lines must always meet at the angles


Try to draw your own cube, using the 30°/ 60° grid. Indicate the broken lines. Let your friends help you if you find it difficult.

[LO 1.12]


Each side covers five squares.)

Which popular object that we use when we play board games has the shape of a cube?

Complete the word: A d e.

Can you think of more examples?


If we put four rectangles of the same size and two rectangles of a smaller size together, we will find a shape that looks like a brick or a shoebox. This shape also has three dimensions, namely length, breadth and height. The shape also has six planes.

Assignment 4b:

Try to draw your own brick by using the 30°/ 60° grid. also indicate the broken lines. suggestion: length: 60 mm, breadth: 40 mm, height: 30 mm.

[lo 1.12]


Length: 60 mm, breadth: 40 mm, height: 30 mm.


Other three-dimensional shapes are a cylinder, for example the cardboard tube of a toilet roll; a sphere, for example a soccer ball; a pyramid, for example the roof of a simple square-shaped house; and a cone, for example the ice-cream cone you get when you buy yourself a soft-serve ice-cream.


Make free-hand drawings of examples of each of the above-mentioned three-dimensional shapes.

[LO 1.12]


Learning Outcomes(LOs)

LO 1


The learner will be able to apply technological processes and skills ethically and responsibly using appropriate information and communication technologies

Assessment Standards(ASs)

We know this when the learner:

1.12 draws appropriate sketches (e.g. labelled two-dimensional drawings of ideas, enhanced drawings of final solutions and drawings showing measurements) to communicate different information appropriately and effectively.


Assignment 1

Learners could recall knowledge already gained in MLMMS and apply it here.

Assignment 2

Learners may discuss answers in groups and fill them in. The teacher could then check. NB All sketching to be done in pencil.

Assignment 3A and B

This is a practical exercise. Learners may help each other. One line on the 30-60 grid represents 1cm/10mm. The teacher could make a transparency of the grid and explain it to the learners that way.

Assignment 4A and 4B

Let learners help each other and explain to each other.

Assignment 5

Bring examples or get learners to bring examples of a cylinder, a sphere, a pyramid and a cone to school so that it will be easier to draw

Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Technology grade 6. OpenStax CNX. Sep 08, 2009 Download for free at http://cnx.org/content/col11005/1.1
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