A rectangular box of crackers has a volume, in cubic centimetres, that can be modelled by the function V(x)= x3_ 38x2 + 367x _ 1050 a) Determine the dimensions of the box in terms of x. b) What are the dimensions of the box when x = 30 cm

You have a 20-meter length of wire. An x meter length is cut from the end of the wire, and is formed into a circle. The remaining portion of the wire is formed into a square.  a) Write an expression for A (x), the total are (in m^2) of the the circle and the square together, as a function of x.  b) Suppose that the area of the square may be no greater than 5m^2. Under these conditions, what is the domain of the function A (x)? Give an exact awnser.

Find the values for each of the dimensions of an open-top box of length x, width y, and height 864,000/(xy) (in inches) such that the box requires the least amount of material to make. Length: (in) Width: (in) Height: (in)

4 = (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least possible amount of material. Find the dimensions of the box.