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.
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