Please explain this I am really confused about this contunity problem.

In order for a function to be continuous at a point , it has to satisfy the criterion,

First, notice that means that , so the "leftmost" piece can be simplified to

Then we have

Each of the pieces are polynomials, so they are continuous everywhere. This means we only need to worry about the endpoints of the pieces, so we need to find such that is continuous at both and .

Now solve for :

step-by-step explanation:

for volume, add base x height x width