4. The Fauxblerone Chocolate Company produces blocks of chocolate in the shape of right equilateral triangular prisms. T
Posted: Wed May 04, 2022 10:42 am
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4. The Fauxblerone Chocolate Company produces blocks of chocolate in the shape of right equilateral triangular prisms. The length of the prism is I cm, and the triangular faces have sides of length s cm. The new jumbo chocolate block is 250 cm³ in volume, and the company wants to minimise its surface area A in order reduce the cost of packaging. Mona College 2022 Monash Colle ege 2022 ( 2022 nash College 2022 $ (a) Determine an expression for A in terms of s only. (b) Monas Using the Second Derivative Test, determine the value of s that minimises A. (c) For this value of s, what are the corresponding values of I and A? Assignment 2 Continued on Next Page Monashege mash Coff ege 2022 Monash Colleg 202 College 2022 (C Monash [4+7+2= 13 marks] I Page 2 of 3
4. The Fauxblerone Chocolate Company produces blocks of chocolate in the shape of right equilateral triangular prisms. The length of the prism is I cm, and the triangular faces have sides of length s cm. The new jumbo chocolate block is 250 cm³ in volume, and the company wants to minimise its surface area A in order reduce the cost of packaging. Mona College 2022 Monash Colle ege 2022 ( 2022 nash College 2022 $ (a) Determine an expression for A in terms of s only. (b) Monas Using the Second Derivative Test, determine the value of s that minimises A. (c) For this value of s, what are the corresponding values of I and A? Assignment 2 Continued on Next Page Monashege mash Coff ege 2022 Monash Colleg 202 College 2022 (C Monash [4+7+2= 13 marks] I Page 2 of 3