How many cubic feet of warehouse space are needed for 440 boxes 13in. by 4in. by 10in. ?

Answer :

19,065 ft³

1) We need for this question, to find out the volume of each box: 13" x 4" x 10"

2) The volume of each box, can be found by the following formula:

[tex]V=13\times4\times10[/tex]

Let's convert from inches to feet, using the following relation:

[tex]1in=\frac{1}{12}ft[/tex]

So we can write out:

[tex]\begin{gathered} V=\frac{520}{12} \\ V=43.33ft^3 \end{gathered}[/tex]

Notice that this is the volume, in feet, of one box. Since the question refers to 440 boxes we can multiply that volume by 440:

[tex]440\times43.33=19,065.2\approx19,065ft^3[/tex]

3) Hence, the answer is approximately 19,065 ft³