Maths-
General
Easy

Question

# Carrie, a packaging engineer, is designing a container to hold 12 drinking glasses shaped as regular octagonal prisms. Her initial sketch of the top view of the base of the container is shown above.If the length and width of the container base in the initial sketch were doubled, at most how many more glasses could the new container hold?

Hint:

## The correct answer is: 48

### Initially,Length of the container = 12 inchesBreadth of the container = 9 inchesNumber of glasses stored in the container = 12Area of the base of the container =   inches = 108 square inchesThus, the apparent area taken by each glass is given by   sq. inchesThat is,Area covered by one glass in the base of the container = 9 sq. inchesWhen the length and breadth of the base is doubled,New length of the base =  inches = 24 inchesNew breadth of the base =   inches = 18 inchesThus, new area of the base of the container =  square inches= 432 square inchesHence, the number glasses this new container can hold is given byThus, the container with doubled length and breadth of the base can hold 48 glasses.

Note:
A few simple ideas are used in solving this problem, like, area of a rectangle is given by the product of its length and breadth and the basic idea of division.