find the total number of rectangular blocks form from 372 identical cubes.
Hi, Raul,
if you have to use all cubes to form a rectangle, then you'll get 6 different rectangles: Calculate all divisors of 372 and you get:
1. rectangle: 1 * 372 or 372 * 1
2. rectangle: 2 * 186 or 186 * 2
3. rectangle: 3 * 124 or 124 * 3
4. rectangle: 4 * 93 or 93 * 4
5. rectangle: 6 * 62 or 62 * 6
6. rectangle: 12 * 31 or 31 * 12
EB
Hello, raul!
We find that: .372 .= .2²·3·31Find the total number of rectangular blocks formed from 372 identical cubes.
I found ten blocks:
. . 1) 1 x 1 x 372
. . 2) 1 x 2 x 186
. . 3) 1 x 3 x 124
. . 4) 1 x 4 x 93
. . 5) 1 x 6 x 62
. . 6) 1 x 12 x 31
. . 7) 2 x 2 x 93
. . 8) 2 x 3 x 62
. . 9) 2 x 6 x 31
. 10) 3 x 4 x 31