States whether rectangular or cylindrical container should Student Council buy to reduce costing.
Answer to Problem 17PPS
Surface area of rectangular container is lesser than that of cylindrical container. Therefore, student council must buy rectangular container so as to reduce costing.
Explanation of Solution
Given:
Calculations:
Here, we have to calculate surface area of cylinder and rectangular prism.
We know that, surface area of cylinder is calculated as,
Where,
h is the height of cylinder
We will calculate surface area of cylindrical popcorn container,
Now, surface area of rectangular popcorn container is calculated as,
Amount of cardboard required to make container is equal to surface area of container. Surface area of rectangular container is lesser than that of cylindrical container. As costing depends on the amount of cardboard required, rectangular container needs minimum cardboard.
Conclusion:
Therefore, we are able to calculate surface area of containers having different shapes using simple formulae.
Chapter 12 Solutions
Pre-Algebra, Student Edition
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