A juice box is 2 inches long 1.5 inches and 4 inches tall. A package has 6 juice boxes, a shipping box holds exactly 24 packages of juice boxes. What is the volume of the shipping box

Respuesta :

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]