Question: Solve the given problems.
In Example, assume the data are good to four significant digits, and then find the dimensions of the box.
Example: Calculator solution of word problem
A rectangular container whose volume is 30.0 cm3 is made with a square base and a height that is 2.00 cm less than the length of the side of the base. Find the dimensions of the container by first setting up the necessary equation and then solving it graphically on a calculator.
Let x = the length of the side of the square base (see Fig.); the height is then x - 2.00 cm. This means the volume is (x)(x)(x - 2.00), or x3 - 2.00x2. Because the volume is 30.0 cm3, we have the equation
x3 - 2.00x2 = 30.0
