The volume of the fourth box is of 410.1 cubic inches.
---------------------
The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:
---------------------
- For the first three boxes, the height is constant at 9 inches.
- At the base, the <u>edge length is multiplied by 1.5</u> each time, as
, thus, for the fourth box, the edge length, in inches, will be of
---------------------
- Square base, of<u> length 6.75 inches</u>, thus:
- Height of <u>9 inches</u>, thus
and:
The volume of the fourth gift box will be of 410.1 cubic inches.
A similar problem is given at brainly.com/question/23756783