# Science:Math Exam Resources/Courses/MATH104/December 2011/Question 03

MATH104 December 2011
Other MATH104 Exams

### Question 03

A box-shaped shipping crate with a square base is designed to have a volume of 16 m${\displaystyle ^{3}}$. The material used to make the base costs twice as much per square metre as the material on the sides. The material on the top costs half as much as the material in the sides. Suppose the material to make the sides costs \$20 per square metre. What are the dimensions of the crate that minimize the cost of the materials?

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