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The cubic crystal company has a new crystal cube they want to sell. The packaging manager insists that the cubes be arranged to form a rectangular prism and that the package be designed to hold the crystal cubes exactly, with no leftover packaging. Each crystal cube measures 1 in x 1 in x 1 in. There are 24 crystal cubes to be sold in a box. What are the dimensions of the possible box designs in inches?

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Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]height \ \ \ \ \ \ \ Width \ \ \ \ \ \ \ Length\\\\[/tex]

   [tex]1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\[/tex]

Answer:

Step-by-step explanation:

Height width length

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Height Width Length

1 in               1in          24in

                    2in        12in

1 in                3in       8in

                    4in         6in

1in                                6in

                   2in             4 in

1 in              3in

2in

2in

   

 

 

     

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