# Introduction to three-dimensional objects

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## Introduction to three-dimensional objects

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

## [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.

## [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

## [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?

## [lo 1.12]

Background:

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.

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

ASSIGNMENT 4A:

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]

Suggestion:

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?

Background:

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.

## [lo 1.12]

Suggestion:

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

Background:

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.

ASSIGNMENT 5:

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

[LO 1.12]

## Assessment

Learning Outcomes(LOs)

LO 1

TECHNOLOGICAL PROCESSES AND SKILLS

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.

## Memorandum

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
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
sure. what is your question?
20/(×-6^2)
Salomon
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
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
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?
hmm
Abhi
is it a question of log
Abhi
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Abhi
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salma
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salma
Commplementary angles
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Sherica
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Sherica
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Tamia
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Uday
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salma
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a perfect square v²+2v+_
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or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
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China
Cied
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I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
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Porter
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Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
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preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
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
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
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
Azam
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Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
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.
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