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ScholarNET Demonstration Courses
ComputerSkillsOnline
EnglishSkillsOnline
JuniorMathsOnline
SeniorMathsOnline
ScienceOnline
EconomicsOnline

Demonstration Pages for both JuniorMathsOnline and SeniorMathsOnline

SeniorMathsOnline

JuniorMathsOnline

  • Percentages - example of notes with interactive tutorials.
  • Transformations - animations of the common transformations of reflections, rotation, translation and enlargement.
  • Vectors - notes including a simulation and a game.
  • Trigonometry - simulation showing the sine as a circular function.
  • Solid Shapes - pop-up windows describing various shapes.
  • Algebra Crossnumber - learning algebra through crosswords.
  • Expressions Test - one of the 355 multiple-choice topic tests.

For a full list of each year's topics click the appropriate link below:



Volume
The volume of an object is the measure of the amount of three dimensional space it takes up.

The volumes and surface areas of certain simple objects such as cubes and prisms can be calculated using formulae.

The surface area of an object is the total area of the outside surfaces of the object.

Volume and Surface Area Formulae
Units of Volume

Units of Volume

  • The basic unit for volume is the cubic metre, written m3.
  • 1 cubic metre is the volume occupied by a cube of length 1 metre.
  • Smaller volumes are often measured in cubic centimetres, cm3, sometimes called cc.
  • 1 litre = 1000 cm3
    1 mL = 1 cm3 (1 cc)

Volume and surface area formulae

Only the cube and cuboid formulae need to be memorised.
For practice using some of these volume and surface area formulae -

Solid
Name
Volume
Surface Area

Cube

V = l x l x l

= l3

S = 2l2+ 2l2+ 2l2

= 6l2

Cuboid or

Rectangular

Prism

V = (shaded area) x l
= (b x h) x l
= bhl

S = 2bh + 2hl + 2bl

Triangular

Prism

 

S = bl + al + cl + bh


Cylinder
 

 


Pyramid

S = sum of areas of

each face

Cone
 

Sphere