9. A box with an open top is to be constructed out of a sheet of metal that measures 1 m by 2 m. Squares will be cut out from the corners of the metal sheet and the rectangular sides folded up to form the box. Each cut-out square has a side length x m.[10 marks] a) Using the variable x, write an expression for the length, width, and height of the box. b) Determine the volume function, V, for the box. c) State the domain and range for the volume function. d) Determine an expression for the surface area, SA, of the box. e) Find the volume and surface area of the box if the side length of each cut-out square is 20 cm.
v = x(1-2x)(2-2x)
A = 2(x(1-2xx(2-2x)+(1-2x)(2-2x))
find v(0.2)