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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

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
is it a question of log
I rally confuse this number And equations too I need exactly help
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris 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
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele 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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