math

posted by .

a cereal maker is currently packaging cereal in cylindrical boxes with a 6" diameter and a height of 10". The cereal maker is considering changing to rectangular boxes. The two boxes need to have the same height to fit on the grocery store shelf and they need to have the same volume.

  • math -

    v = pi * 36 * 10 = 360pi = 1131 in^3
    Now you need a rectangular box 10" high with that volume. So, the base needs to have area 113.1 in^2

    The rectangle using least material for an area is a square, so the box using least material will have a square base 10.6" square and 10" height

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends $40,000 on advertising then …
  2. math 12

    A manufacturer of cereal finds that the masses of cereal in a company's 200-g package are normally distributed with a mean of 200g and a standard deviation of 16.3g a) What proportion of these boxes contain between 183.7g and 216.3g …
  3. math

    The weights of boxes of Brand Z cereal were found to be normally distrubted with a mean of 16.5 ounces and a standard deviation of 0.4 ounces. a. what percentage of the boxes will weigh more than 16 ounces?
  4. math

    The weights of boxes of Brand Z cereal were found to be normally distrubted with a mean of 16.5 ounces and a standard deviation of 0.4 ounces. a. what percentage of the boxes will weigh more than 16 ounces?
  5. math

    The weights of boxes of Brand Z cereal were found to be normally distrubted with a mean of 16.5 ounces and a standard deviation of 0.4 ounces. a. what percentage of the boxes will weigh more than 16 ounces?
  6. finite math

    The weights of boxes of Brand Z cereal were found to be normally distrubted with a mean of 16.5 ounces and a standard deviation of 0.4 ounces. a. what percentage of the boxes will weigh more than 16 ounces?
  7. math

    If you buy 6 boxes of cereal for $ 10, how much will 9 boxes of cereal cost ?
  8. Geometry

    I need an example of two cereal boxes that have the same volume but different surface area. I need the brand and box sizes. Then I need to pick one of the cereal boxes and redesign it so that it has the same volume but less surface …
  9. stat

    You wanted to test whether the cereal boxes made by your plant conform to the requirement that they contain 12 oz cereal. You wish to test at the 99 percent significance level, and you sample 100 boxes, finding the mean x as 11.85, …
  10. Algebra 2 check my last answer?!

    A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 16 boxes of the cereal were sold. In the next week, 33 boxes of the cereal were sold and in the third week 50 boxes of the …

More Similar Questions