How many pieces of paper can be cut at least by cutting a 120cm long and 80cm wide rectangular paper into a square with the same area (the rest of the paper)?

How many pieces of paper can be cut at least by cutting a 120cm long and 80cm wide rectangular paper into a square with the same area (the rest of the paper)?


The greatest common divisor of 120 and 80 is 40
120÷40=3 80÷40=2
3 × 2 = 6 pieces, at least 6 pieces can be cut



A rectangular box with a square bottom, if the side of the box is unfolded, a rectangle with a length of 120cm and a width of 80cm can be obtained
What's the volume of this carton? Why!


There are two types
1、
High 80
120 / 4 = 30 (width), i.e. bottom edge length
Volume = 30 * 30 * 80 = 72000 CC
2、
High 120
80 / 4 = 20 (width), i.e. bottom edge length
Volume = 20 * 20 * 120 = 48000 CC



Divide a rectangular piece of land 120 meters long and 80 meters wide into small squares of equal area. What is the largest area of a small square?
Primary school mathematics fifth grade second semester Huang Gang small champion page 40 excellent homework


120=2*3*4*5
80=2*4*5*4
Maximum common factor = 2 * 4 * 5 = 40
40 * 40 = 1600 square meters