Shipping problem

Paul works in the shipping department of a toy company. He sends toys in boxes each in the shape of a rectangular prism. The boxes' lengths, widths, and heights are whole numbers in inches. Luke needs a box with a total volume of 24 cubic inches. Find one possible combination of length, width, and height all in whole numbers of inches, of a box Luke could use.

Final Answer:

a =  2 in
b =  4 in
c =  3 in

Step-by-step explanation:

$$\begin{gathered} V=24{\text{in}}^3 \\ V=a\cdot b\cdot c \\ 24=2\times 2\times 2\times 3=2^3\times 3 \\ a=2=2\text{in} \end{gathered}$$

$b=2\cdot 2=4\text{in}$

$c=3=3\text{in}$

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