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Year 12 Methods (Unit 3 & 4) Functions and relations

Applications of functions

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Question 1
107216

A rectangular piece of cardboard has dimensions 18 cm by 12 cm Four squares measuring \(x\) cm by \(x\) cm are cut from each corner. An open box is formed by folding up the flaps. Find a function \(V\) which gives the volume in terms of \(x\) and state the fraction's domain. 

\(V=4x(9-x)(6-x)\, \text{ Domain: } 0<x<6\)

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