Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is
[tex] {l}^{2} [/tex]
It was given that, the area of this base is 81 in²
[tex] {l}^{2} = 81[/tex]
Take positive square root:
[tex]l = \sqrt{81} = 9in[/tex]