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

The answer to your question is below

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