(a)
To calculate: The ratio of surface area to volume for each container.
The required ratio for rectangular container is
Given information:
A manufacturer of instant rice is considering two different styles of packaging. One is a rectangular container with a square base and other is a cylinder.
Formula used:
Surface area of cuboid =
Volume of cuboid =
Surface area of cylinder =
Volume of cylinder =
Calculation:
The ratio of surface area to volume of rectangular container with a square base will be,
The ratio of surface area to volume of cylindrical container will be,
Therefore, the required ratio for rectangular container is
(b)
To Find: The efficiencies of the containers using the ratio of their surface area to volume.
Both the containers are equally efficient.
Given information:
A manufacturer of instant rice is considering two different styles of packaging. One is a rectangular container with a square base and other is a cylinder.
Explanation:
The ratio of surface area to volume of rectangular container is
The ratios are same, this means they occupy the same space and can contain the same quantity of rice.
Therefore, both the containers are equally efficient.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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