Answer:
[tex]2.375 {x}^{3} \: cubic \: inches[/tex]
Step-by-step explanation:
Suppose the length of the gift box is x inches.
Then the length of the shipping box would be 1.5x inches.
So now we know that the volumes of the gift box and the shipping box are respectively:
V(gift) = x^3 cubic inches
V(shipping) = (1.5x)^3 = 3.375x^3 cubic inches
The volume in the shipping box that is not taken up by the gift box would then be:
V(remain) = V(shipping) - V(gift) = 3.375x^3 - x^3 = 2.375x^3 cubic inches
