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containers of popcorn. The boxes are 5​” by 4​” by 11​” and sell for​ $1.75. The cylindrical containers are 8″ ​high, have a diameter of 8″, and sell for​ $3.50. Is it better to buy one cylindrical container or two boxes of​ popcorn?

Question

A movie theater sells both boxes and cylindrical

containers of popcorn. The boxes are 5​” by 4​” by 11​” and sell for​ $1.75. The cylindrical containers are 8″ ​high, have a diameter of 8″, and sell for​ $3.50. Is it better to buy one cylindrical container or two boxes of​ popcorn?

Which is the best​ buy?

A.

The pair of boxes and the cylindrical container have the same volume of

___ cubic inches and are therefore equally good buys.

B.

The cylindrical container has a volume of

____ cubic inches and two boxes have a total volume of

____ cubic inches. The best buy is the cylindrical container because it has a greater volume for the same price.

C.

The cylindrical container has a volume of

____ cubic inches and two boxes have a total volume of

____ cubic inches. The best buy is the pair of boxes because it has a greater volume for the same price.

Please show work

 
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