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Year 12 Maths Advanced Differential Calculus

Applications of Maxima and Minima

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Question 1
17238

A rectangular prism has a base with length twice its breadth. The volume is \(400~\text{cm}^3\).Given that the breadth is \(x~\text{cm}\), the surface area \(S\) is given by :

A.

\(S = 4{x^2} + \dfrac{{1500}}{x}\)

B.

\(S = 6{x^2} + \dfrac{{1500}}{x}\)

C.

\(S = 4{x^2} + \dfrac{{1200}}{x}\)

D.

\(S = 6{x^2} + \dfrac{{1200}}{x}\)

\(S = 4{x^2} + \dfrac{{1200}}{x}\)

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