Question

Matt is mailing a rectangular package at the post office the box's volume is 24 in.³ what are all of the possible dimensions length width and height that a package could be

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 24 in³

Process

1.- Find the prime factors of 24

                        24  2

                         12  2

                          6  2

                          3  3

                           1

2.- Volume of a rectangular package

             Volume = length x height x width

3.- Possible values are, combine the prime factors to find the volume

             Volume = 4 x 2 x 3   or

             Volume = 2 x 4 x 3

             Volume = 3 x 2 x 4

             Volume = 2 x 2 x 6

             Volume = 6 x 2 x 2

             Volume = 2 x 6 x 2

             Volume = 12 x 2 x 1

             Volume = 1 x 12 x 2

             Volume = 2 x 1 x 12