# Volume of a prism

1. Nov 4, 2014

### Markg1997

if a swimming pool has a volume of y^3-y and a height of y-1 then what is the length and width?

2. Nov 4, 2014

### Mentallic

The volume of a prism is

$$V=lbh$$

And so in your case, $V=y^3-y$ and $h=y-1$ so plug these in, can you then figure out what l and b must be? Hint: Factorize.

3. Nov 5, 2014

### Markg1997

I have it set up as:
y(y-1)(y+1)=lw(y-1) which I then divide by (y-1) to get
y(y+1)=lw and then I am stuck

4. Nov 5, 2014

### SteamKing

Staff Emeritus
Yer pool is either y units long and (y+1) units wide or (y+1) units long and y units wide. Without additional information, you can't tell which dimension is which.

5. Nov 5, 2014

### HallsofIvy

Staff Emeritus
That's assuming that all measurements are whole integers which was not given.

6. Nov 5, 2014

### Mentallic

This doesn't assume whole integers at all. y could be any real value greater than 1.