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An enlarged version is planned, the same shape, but made from twice as much metal. How much will it hold?. A metal tin holds 450ml. Area Scale Factor = 2 Linear S.F. = √2 ≈ 1.414 Vol S.F. = 1.41³ = 2.83 V = 450 x 2.83 = 1273ml. - PowerPoint PPT Presentation
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An enlarged version is planned, the same shape, but made from twice as much metal.
How muchwill it hold?
Area Scale Factor = 2Linear S.F. = √2 ≈ 1.414Vol S.F. = 1.41³ = 2.83
V = 450 x 2.83 = 1273ml
A metal tin holds 450ml
A miniature version is to be made which holds just 1 litre.
What would the % savings incardboardbe?
V.S.F. = 0.25L.S.F. = ³√0.25 ≈ 0.63A.S.F. = 0.63² ≈ 0.86
New area 86% of old,so: 14% decrease
A cardboard box has a capacity of 4 litres