SOLUTION: What quadratic equation can represent a box with a volume of 270 cubic centimeters? Please answer:) Thanks.

Algebra ->  Equations -> SOLUTION: What quadratic equation can represent a box with a volume of 270 cubic centimeters? Please answer:) Thanks.      Log On


   



Question 977268: What quadratic equation can represent a box with a volume of 270 cubic centimeters? Please answer:) Thanks.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not at all precise a question.

Dimensions, x, y, z.
Let z be a constant value, k=z.
Let y be a function of x, f%28x%29=ax%2Bb, for some constants a and b.

Now the volume will be v=xyz=x%2Af%28x%29%2Ak=x%28ax%2Bb%29%2Ak=kx%28ax%2Bb%29=akx%5E2%2Bbkx.

Knowing the given value for volume, akx%5E2%2Bbkx=270.