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Math Help - Scaling up question

  1. #1
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    Scaling up question

    Hi, wonder if anyone can help me with a question that has been bugging me!

    A recipe for a 7.5 inch square-based iced cake is scaled up the cake to make a cake of the same shape but with a 10 inch square-based cake.

    How could i work out roughly:

    1. Volume of 10 inch over 7.5 inch
    2. How much more flour is needed
    3. How much more icing is needed

    Thanks for any help!

    Matt
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by n33712 View Post
    Hi, wonder if anyone can help me with a question that has been bugging me!

    A recipe for a 7.5 inch square-based iced cake is scaled up the cake to make a cake of the same shape but with a 10 inch square-based cake.

    How could i work out roughly:

    1. Volume of 10 inch over 7.5 inch
    2. How much more flour is needed
    3. How much more icing is needed

    Thanks for any help!

    Matt
    Volume scales as the cube of a linear dimension, so the volume is (10/7.5)^3
    times that of the 7.5" cake.

    Amount of flour needed scales as the volume, so (10/7.5)^3 times as much
    flour is required.

    The amount of icing scales as the surface area which scales as the square
    of a linear dimension so (10/7.5)^2 times as much iceing is required.

    RonL
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  3. #3
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    Excellent. thank you very much!

    Matt
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