To make a rectangular box without a lid from a square piece of paper, first cut out a square with the same area at the four corners of the square paper, and then fold it. If the side length of this square paper is A and the side length of the cut small square is B, through repeated experiments and calculations, I find that when a:b=6: 1, the volume of the folded rectangular box is the largest. Now let's check:
① When a =30cm,
B (cm)
2
three
four
five
six
seven
eight
nine
roll
cubic centimeter
1352
1728
1936
2000
1944
1792
1568
1296
Therefore, when b=5cm, the uncovered rectangle has the largest volume, and b:a= 1:6.
② When a= 18cm,
B (cm)
1
2
three
four
five
six
seven
eight
roll
cubic centimeter
256
392
432
celebrity
320
2 16
1 12
32
As can be seen from the above table, when b=3cm, the uncovered rectangle has the largest volume, and b:a= 1:6.
In order to make the answer more accurate, we now round B to the tenth place.
b
(cm)
2.5
2.7
2.9
3. 1
3.3
3.5
roll
cubic centimeter
422.5
428.652
43 1.636
43 1.644
428.868
423.5
Interested parties can calculate percentiles and thousandths. In short, when a:b= 1:6, the volume of the folded rectangular box without cover is the largest.
Hope to adopt! ! ! -