A box without a lid is constructed from a 30 inch by 30 inch piece of cardboard by cutting $\displaystyle {x}$ in. squares from each corner and folding up the sides.

a) Write the function for determining the volume of the box as a function of the variable $\displaystyle {x}$.

$\displaystyle {V}{\left({x}\right)}=$ Preview Question 6 Part 1 of 2  

b) Use a graphing calculator to approximate the values of $\displaystyle {x}$ that produce a volume of 1898.4375.
Identify the largest reasonable answer for x. Round your answer to two decimal places.

The largest value for $\displaystyle {x}$ that produces a volume of 1898.4375 is inches Preview Question 6 Part 2 of 2