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Cans
Scale Factors
Conventional Can
It has a body diameter of
63mm, a height of 115mm.
1. If all the dimensions are doubled what is the area and
the volume of the larger can to nearest cm2/cm3?
2. If all the dimensions are divided by 3 what happens?
3. If you want to enlarge the can so that it holds twice as
much what would the dimensions be to the nearest
mm?
Conventional Can
It has a body diameter of
63mm, a height of 115mm.
4. If you want to enlarge the can so that it holds
500ml what would the height and diameter be?
5. If you use twice as much aluminium do you get a
can with twice the volume?
6. If the can is enlarged so that the volume is 4
times as much then by what scale factor is the
surface area changed?
Conventional Can
It has a body diameter of
63mm, a height of 115mm.
1. If all the dimensions are doubled what is the area and
the volume of the larger can to nearest cm2/cm3?
Original Volume = 358.48cm2 Larger = 2867cm3
Original Area = 289.95cm2
Larger = 1160cm2
2. If all the dimensions are divided by 3 what happens?
Original Volume = 358.48cm2 Smaller = 13cm3
Original Area = 289.95cm2
Smaller = 32cm2
Conventional Can
It has a body diameter of
63mm, a height of 115mm.
3. If you want to enlarge the can so that it holds twice as
much what would the dimensions be to nearest mm?
Original Diameter = 63mm
Original Height = 115mm
Larger = 79.4mm
Larger = 144.9mm
4. If you want to enlarge the can
so that it holds 500ml what
would the height and diameter
be?
3
500
x63  72mm
330
3
500
x115  132mm
330
Conventional Can
It has a body diameter of
63mm, a height of 115mm.
5. If you use twice as much aluminium do you get a
can with twice the volume?
Area x2, length x1.41, Volume x2.83
6. If the can is enlarged so that the volume is 4
times as much then by what scale factor is the
surface area changed?
Volume x4, length x1.59, Area x2.52