Respuesta :

Answer:

648cubes

Explanations

The formula for calculating the volume of a box is expressed as

[tex]V=lwh[/tex]

where;

l is the length

w is the width

h is the height

Find the volume of the shipping box

[tex]\begin{gathered} V=12in\times18in\times24in \\ V=5184in^3 \end{gathered}[/tex]

Determine the dimension of the cubic package

[tex]\begin{gathered} V_c=2in\times2in\times2in \\ V_c=8in^3 \end{gathered}[/tex]

Determine the number of cubes that can fit in the shipping box.

[tex]\begin{gathered} number\text{ of cubes}=\frac{5184in^3}{8in^3} \\ number\text{ of cubes}=648cubes \end{gathered}[/tex]

Therefore the maximum number of cubes that can fit into the box is 648cubes