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| Demonstration Pages for both JuniorMathsOnline and SeniorMathsOnline |
SeniorMathsOnline
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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.
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For a full list of each year's topics click the appropriate link below:
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Volume
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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.
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 -
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Solid
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Name
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Volume
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Surface Area
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Cube
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V = l x l x l
= l3
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S = 2l2+ 2l2+ 2l2
= 6l2
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Cuboid or
Rectangular
Prism
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V = (shaded area) x l
= (b x h) x l
= bhl
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S = 2bh + 2hl + 2bl
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Triangular
Prism
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S = bl + al + cl + bh
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Cylinder
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Pyramid
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S = sum of areas of
each face
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Cone
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Sphere
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