Benedict has 2 cubical tanks, A and B. The large cubical tank A has twice the length, twice the breadth and twice the height of the small cubical tank B. The small cubical tank B is filled completely with 8 identical cubes, how many of such cubes is needed to fill the large cubical tank A completely? Answer: ___

1. Determine the volume scaling factor from tank B to tank A

Since tank A has twice the length, twice the breadth, and twice the height of tank B, its volume is $2 \times 2 \times 2 = 8$ times the volume of tank B.

2. Calculate the number of cubes needed for tank A

Number of cubes for tank A = $8 \times 8 = 64$