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]