Consider the following list of objects and geometric figures:
A. A grain of sand
B. The edge of a ruler
C. The top surface of a desk
D. The tip of a sharpened pencil
a. (i) Arrange the items A, B, C and D in order of increasing dimension.
b. (ii) Justify your ordering in part (i) by stating the number of dimensions associated with each item.
c. (iii) Distinguish clearly between the terms "dimension" and "measure" by using two examples from the list above.