# Scaling up question

• Aug 22nd 2007, 01:16 PM
n33712
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
• Aug 22nd 2007, 01:25 PM
CaptainBlack
Quote:

Originally Posted by n33712
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
• Aug 23rd 2007, 02:08 AM
n33712
Excellent. thank you very much!

Matt