An ice sculptor is carbing a block of ice that is in the form of a cube, 40 inches on each side. The block is initially placed on top of a wooden base whose area is the region R under the graph of f(x) where f(x) =40sun^2((pix)/20)
a) This region is cut out of a 20 inch by 40 inch piece of plywood and the remaining wood is thrown out. Find the area of the discarded wood.
b) The ice sculpture is a solid with base R. Cross sections of the sculpture perpendicular to the x-axis are right triangles with the hypotenuse of the triangle in the base. Find the volume of ice that is discarded when creating the sculpture.
c) Find the perimeter of the base of the ice sculpture