if a swimming pool has a volume of y^3-y and a height of y-1 then what is the length and width?
The volume of a prism is
And so in your case, [itex]V=y^3-y[/itex] and [itex]h=y-1[/itex] so plug these in, can you then figure out what l and b must be? Hint: Factorize.
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
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.
That's assuming that all measurements are whole integers which was not given.
This doesn't assume whole integers at all. y could be any real value greater than 1.
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