Answer:
y = 4000/x²
Step-by-step explanation:
The volume of the building is expressed as;
V = x²y where;
x is the length and width of the base.
y is the height of the building
Given
Volume V = 4000m³
Substitute the given volume into the equation as shown;
4000 = x²y
Make y the subject of the formula by dividing both sides by x²
4000/x² = x²y/x²
4000/x² = y
Rearrange
y = 4000/x²
Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²
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