Question

Using a graph, what is the relationship between volume and height?

Answer 1

Sierra, you will first need to define the shape of the object in order to find the relationship between volume and height.

Answer 2

Once you have defined the shape of a solid object, and the dimensions that characterize it, if you increase height while keeping the same shape, volume will increase with (height)^3

If you vary only height and keep the other two orthogonal dimensions unchanged (such as the length and width of a rectangular prism), the volume will increase in proportion to height, but the shape will change.