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An enlarged version is planned, the same shape, but made from twice as much metal. How much will it hold? Area Scale Factor = 2 Linear S.F. = √2 ≈ 1.414 Vol S.F. = 1.41³ = 2.83 V = 450 x 2.83 = 1273ml A metal tin holds 450ml

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

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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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Page 1: 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 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

Page 2: An enlarged version is planned, the same shape, but made from twice as much metal.   How much

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