A box is to be constructed with a rectangular base and a height of h cm. The length, l, of the box is 10 cm, and the width, w, is twice the height. Determine the quadratic equation that best models the volume of the box.
The formula for the volume of a box is:
Volume = L*W*H
We know that the length is 10 cm.
We know that the width is twice the height, so W = 2H.
Then our volume equation is:
Volume = 10*2H*H
Volume = 20*H^2
Since H^2 is in the equation, this is a quadratic equation.
