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Mathematics

Perimeter, area and volume

Educator section

Memorandum

23.4

a) 108 cubic cm

b) 72 cubic cm

c) 23,625 cubic cm

d) 108 cubic cm

23.5

a) 20 cubic cm

b) 63 000 cubic mm

c) 24 000 cubic cm

d) 1 728 cubic cm

e) own answer

Leaner section

Content

Activity: volume [lo 4.2, lo 4.3]

23. VOLUME

23.1 Did you know?

The amount of space that is taken up by a solid body is called the volume of the body.

The internal volume is thus the space inside a hollow container. It is also called the capacity or contents of the container.

23.2 IMPORTANT to REMEMBER!

Volume is measured in cubic measuring units

We use the following units:

cubic mm : mm³

cubic cm : cm³

cubic m : m³

1 cm³ (cubic centimetre) is a cube with a length, breadth and height of 1 cm.

1 cm³ = 1 cm x 1 cm x 1 cm

= 10 mm x 10 mm x 10 mm

= 1 000 mm3

1 m³ = 1 m x 1 m x 1 m

= 100 cm x 100 cm x 100 cm

= 1 000 000 cm³

23.3 Also LEARN the following:

Volume of a rectangular prism is length x breadth x height

Volume of a cube is y³ y = (length, breadth and height)

23.4 Use the formula: volume = length x breadth x height

to calculate the volume of the following figures:

a)

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b)

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c)

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d)

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23.5 a) Calculate the volume of the following in cm3:

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b) Calculate the volume of the following in mm3

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c) What is the volume of the figure in cm3?

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d) Calculate the volume of a cube with a length of 12 cm.

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e) Estimate the volume of the box of chalk in your classroom

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23.6 CLASS DISCUSSION

How will you determine the volume of an irregular figure, e.g. a stone?

23.6.1 Did you know?

A Greek Mathematician, Archimedes, discovered how to calculate the volume of an irregular figure while he was bathing! He saw how water flowed over the edge of the bath when he climbed in. He realised that if he could measure the volume of water that his body displaced, then he could measure the volume of his own body. Archimedes was so excited by this realisation that he jumped out of the bath and ran down the street stark naked shouting, “EUREKA!” (I have found it!)

23.6.2 Follow the following steps and see if you can measure the volume of a stone that you have picked up outside.

a) Fill a cup completely to the top with water and put the cup in a bigger container. Remember to see precisely how many mℓ water you have in the cup!

b) Slowly lower the stone into the cup. Make certain that the water that overflows lands in the bigger container.

c) Measure the amount of water in the container by pouring it into a measuring cup.

d) Your stone has a volume of 1 cm3 for each mℓ of water that overflowed because 1 mℓ = 1 cm³.

e) What is the volume of your stone? .__________________________________

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.2: We know this when the learner solves problems;

Assessment Standard 4.3: We know this when the learner solves problems using a range of strategies.

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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