Fortune Telling Collection - Ziwei fortune-telling - Make a rectangular model with 48 cm wire. How many cuboids are there? What are the characteristics and laws of side length, surface area and volume?

Make a rectangular model with 48 cm wire. How many cuboids are there? What are the characteristics and laws of side length, surface area and volume?

Sum of height, width and length: 48/4= 12.

The lower levels are enumerated by integers.

12= 1+ 1+ 10

12= 1+2+9

12= 1+3+8

12= 1+4+7

12= 1+5+6

12=2+2+8

12=2+3+7

12=2+4+6

12=2+5+5

12=3+3+6

12=3+4+5

12=4+4+4 (cube exclusion)

1 1 cuboid and 10 side length!

Senior three is endless.

Generally speaking, the longer a cuboid is, the larger its surface area is and the smaller its volume is. The closer it is to a cube, the smaller its surface area is and the larger its volume is.