There are two.
The infinitely many real numbers between 1 and 200 except for 1, 8, 27, 64 and 125.
100
The volume is 1 million cm3
1003 = 106 = 1,000,000: since 100 centimeters are required to equal one meter, the larger cube is scaled up by 100 in each of its three dimensions compared to the small cubes specified.
Between the two numbers there are only two.
100
101
25 numbers are between 1-100.
100
1003 = 106 = 1,000,000: since 100 centimeters are required to equal one meter, the larger cube is scaled up by 100 in each of its three dimensions compared to the small cubes specified.
16 1-inch cubes
64
1, 8, 27
The values of cubes 1 to 30 between 1 and 200 are 13 (1), 23 (8), 33 (27), 43 (64), and 53 (125).
1 metre = 100 cm so 10 cubes will fit along the length, breadth and height of the box. Therefore 10*10*10 = 1000 cubes will fit.
To solve for the sum of the first n number of cubes, use (1+2+3+4+5...+n)2. So for n=100, (1+2+3+4+5...+100)2 = c (cubes) (101 * 50)2 = c 50502 = c c = 25502500