Answer:
[tex]V(h)=(1.25h+2.25)^3[/tex]
Step-by-step explanation:
Recall that the volume of a cube is given by:
[tex]\displaystyle V = s^3[/tex]
Where s is the side length of the cube.
The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:
[tex]s=1.25h+2.25[/tex]
Substitute. Hence, our function is:
[tex]V(h)=(1.25h+2.25)^3[/tex]
