Question 10762: My question is:
The length, width, and height of a rectanglar box are consecutive integers,and the largest dimension is k cm. Find the volume V of the box. (hint: V=lwh)
Answer by prince_abubu(198)   (Show Source):
You can put this solution on YOUR website! OK. The dimensions, length, width, and height, are consecutive integers. This means they're "together" without skipping integers, and they're different from each other, like (5,6,7) or (101,102,103). IF the largest of the dimensions is k, then the other two HAVE TO BE (k-1) and (k-2). Suppose that k is any integer. (k-1) and (k-2) will be forced to be the next two integers less than k. (They're "together").
So the volume is  <------ We can leave it at this point, but I think they may want us to expand.
 <----- we just multiplied the k and the k-1 by distributive property.
 <-------- performed FOIL. This is as far as we can get.
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