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An enlarged version is planned, the same shape, but made from twice as much metal. How much

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.

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An enlarged version is planned, the same shape, but made from twice as much metal. How much

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  1. 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

  2. A miniature version is to be made which holds just 1 litre. What would the % savings in cardboard be? A cardboard box has a capacity of 4 litres V.S.F. = 0.25 L.S.F. = ³√0.25 ≈ 0.63 A.S.F. = 0.63² ≈ 0.86 New area 86% of old, so: 14% decrease

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