Explanation:
The sides of shipping box are 2 inches longer than the sides of jewellery box.
Let s be the side of jewellery box.
So, s+2 will be the side of shipping box .
a) Volume of jewellery box is,
[tex]\begin{gathered} V=edge^3 \\ V=s^3 \end{gathered}[/tex]b) Volume of shipping box is,
[tex]\begin{gathered} V=edge^3 \\ V=(s+2)^3 \end{gathered}[/tex]The side of jewellery box is 8 inches.
s=8
Then the volume of shipping box is,
[tex]V=(8+2)^3=10^3=1000\text{ cubic inches}[/tex]Answer: 1000 cubic inches.