Respuesta :

For this case we have that by definition, the volume of a cube is given by:

[tex]V = l ^ 3[/tex]

Where:

l: It's the side of the cube

According to the statement data:

[tex]l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}[/tex]

Substituting in the formula we have:

[tex]V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625[/tex]

Thus, the shipping cube volume is[tex]15.625 \ ft ^ 3[/tex]

Answer:

[tex]15.625 \ ft ^ 3[/tex]