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Grade 6

3-d dreams

Module 5

An isometric drawing of a cube

Assignment 1:

Answer the following questions that are related to the isometric drawing of a cube.

[lo 1.3]

  1. How many visible (continuous) lines are there in the drawing?
  2. How many invisible (broken) lines are in the drawing?
  3. How many planes does the figure have?
  4. How many planes are visible?
  5. How many planes are invisible?


  1. A cube is made up of six (squares, rectangles) but in the sketch they look like six (parallelograms, rhombuses).
  2. This cube has three views, namely a FRONT VIEW (right front), a SIDE VIEW (left front) and a TOP VIEW (from right above).

Colour the views in the following way: Front: Blue

Side: Green

Top: Red

Assignment 2a:

Colour the figures below by making use of the above-mentioned colours. try to draw the invisible lines of each cube.

[lo 1.3]

Assignment 2b:

Draw similar shapes as in assignment 7a on a 30°/ 60° grid. (the figures are placed differently each time.)

[lo 1.3]


Before we try individually to draw a three-dimensional object, we are going to compare shapes of planes in a drawing with shapes of the real object.

Assignment 3:

Study the following drawings and identify the shapes that are required.

[lo 1.3]

Drawing A and B

  • Complete the table:
Number of plane Type of face on sketch Shape on real object

Something interesting:

  • Do your answers to 2 and 8 differ on the sketch?

If we suppose that these are sketches of the same shed, try to explain why.

  • Do your answers regarding planes 2 and 8 differ on the real object?
  • Explain


A three-dimensional shape such as a cube also has vertical and horizontal planes.


A cube has 2/ 4/ 6 horizontal and 2/ 4/ 6 vertical planes.

[LO 1.3]


a) How many horizontal planes does a wooden block have that stands like


And vertical planes?

b) How many horizontal planes does a wooden block have that stands like


And vertical planes?

c) What conclusion can you draw from this? Complete:

A wooden block/rectangular shape always has horizontal and

vertical planes.

Assignment 4b:

[lo 1.3]

a) Redraw the three visible planes on carbon paper (numbers 4, 5 and 6 above).

b) Cut out the three planes.

c) Use three pieces of different coloured cardboard and cut out two examples of each plane from the colours (six parts with two of each colour) (two of number 6, two of number 5, two of number 4).

d) Build the box on the grid (annexure 1) by gluing the parts as shown in the sequence that was indicated above. Use Prestik to stick the parts onto the grid.

e) Now draw the box in pencil on the grid. First draw the visible lines and then the invisible lines in dotted lines.

A Challenge:

f) Suppose that plane 4 is a flap that can open. Close flap 4. Now draw the box in pencil with its open flap on the grid. First draw all the visible lines and then the invisible lines.


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:

1.3 performs, where appropriate, scientific investigations about concepts relevant to a problem, need or opportunity using science process skills.


Assignment 1

Learners could do it individually after a learning discussion by the teacher.

Assignment 2A

The teacher could do one together with the learners in order to explain it to them, and the learners could then do the rest individually. Make a transparency of the page and use coloured transparency pens.

Assignment 2B

The teacher explains, using a cigarette box or matchbox. The different positions are then indicated in a practical way before the learners draw it. For instance, B could be done with the learners, and then they could be told to do C and D by themselves.

Assignment 3

Let groups of learners, for instance, do drawing A. They should then check and the reasons for the answers. Then learners should do drawing B individually, after which it could be checked. Have a class discussion about the relevant questions.

Assignment 4A

Discuss the questions by illustrating practically with a wooden block and let learners fill in the answers.

Assignment 4B

This is a practical exercise. Each learner should therefore have scissors, Prestik, a 30 60 grid (Addendum 1) and three pieces of coloured cardboard to complete the assignment. Do the assignment together with the learners.

Assignment 5

Each learner can evaluate his/her progress individually. Emphasise the fact that each learner should be honest, as the teacher would be able to see from the practical work whether the learner was honest or not.

Questions & Answers

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
Do somebody tell me a best nano engineering book for beginners?
s. Reply
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?
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.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
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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