Question 2: Assume that a 10-D base cuboid contains only three base cells: (1) (a1, d2, d3, d4,d9, d10), (2) (d1,b2, d3, d4., d9, d10), and (3) (d 1, d2. c3, d4-., d9, d 10), where a1 d1, b2t d2, and c3 t d3. The measure of the cube is countl) Answer the following questions: 1. How many nonempty cuboids will a full data cube contain? 2. How many nonempty aggregate (i.e., nonbase) cells will a full cube contain? 3. How many nonempty aggregate cells will an iceberg cube contain if the condition of the 4. A cell, c, is a closed cell if there exists no cell, d, such that d is a specialization of cell c iceberg cube is "count 2 2? (i.e., d is obtained by replacing a in c by a non-* value) and d has the same measure value as c. A closed cube is a data cube consisting of only closed cells. How many closed cells are in the full cube