.
The volume of a rectangular box is given by the expression V = (120 − 6w)w2, where w is measured in inches.
a.
What is a reasonable domain for the function in this situation? Express the domain as an inequality, in interval notation, and in set notation.
b.
Sketch a graph of the function over the domain that you found. Include the scale on each axis.
c.
Use a graphing calculator to find the coordinates of the maximum point of the function.
What is the width of the box, in inches, that produces the maximum volume?
1 answer