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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

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.
what is biological synthesis of nanoparticles
Sanket Reply
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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