Science:Math Exam Resources/Courses/MATH100/December 2015/Question 09
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[hide]Question 09 |
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A business wants to manufacture a huge closed box with a square base, a square top, and rectangular sides. The material used for the four upright sides of the box costs $2 per square metre, and the material used for the base and top of the box costs $8 per square metre. Find the dimensions of the box with lowest possible cost that has volume 32 m3. |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. |
[show]Hint 1 |
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[show]Hint 2 |
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Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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[show]Solution |
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