Answer:
[tex]V=1,728\ in^3[/tex]
Step-by-step explanation:
step 1
Find the volume of one juice box
The volume is equal to
[tex]V=LWH[/tex]
where
[tex]L=2\ in\\W=1.5\ in\\H=4\ in[/tex]
substitute the values in the formula
[tex]V=(2)(1.5)(4)[/tex]
[tex]V=12\ in^3[/tex]
step 2
Find the volume of one package
we know that
A package has 6 juice box
so
Multiply the volume of one juice box by 6
[tex]V=6(12)=72\ in^3[/tex]
step 3
Find the volume of the shipping box
we know that
A shipping box holds exactly 24 packages of juice boxes
Multiply the volume of one package by 24
[tex]V=24(72)=1,728\ in^3[/tex]