1. A cube whose edges are 3 inches is paintedblue. The cube is then cut into smaller cubes, all of whichhave edges that are 1 inch long. How many of the small cubeshave no paint on them? a. 0 b. 1 c. 3 d.4 e. 9 2. the sum of the first 1000 counting numbers has a unit'sdigit of _________. 1. A cube whose edges are 3 inches is paintedblue. The cube is then cut into smaller cubes, all of whichhave edges that are 1 inch long. How many of the small cubeshave no paint on them? a. 0 b. 1 c. 3 d.4 e. 9 2. the sum of the first 1000 counting numbers has a unit'sdigit of _________.
Explanation / Answer
1. there is 1 inner cube with no paint 2. 1 + 2 + ... + 1000 = 1000*1001/2 = 500500