A factory uses the rectangular and square cardboard as shown in figure a to make the vertical and horizontal rectangular paperboards as shown in Figure B. (the width of the rectangle is equal to the side length of the square) (1) At present, there are 50 square cardboard and 100 rectangular cardboard ① According to the meaning of the question, complete the following table: Vertical carton (piece) horizontal carton (piece) x y Square cardboard x () Rectangular paperboard (sheet) () 3Y (2) If all the cardboard is used up, find the value of X and y (3) If there are 80 pieces of square cardboard and N pieces of rectangular cardboard to make the above two kinds of cartons, the cardboard is just used up, and 162 < n < 172 is known, the value of n is calculated Do it once with binary

A factory uses the rectangular and square cardboard as shown in figure a to make the vertical and horizontal rectangular paperboards as shown in Figure B. (the width of the rectangle is equal to the side length of the square) (1) At present, there are 50 square cardboard and 100 rectangular cardboard ① According to the meaning of the question, complete the following table: Vertical carton (piece) horizontal carton (piece) x y Square cardboard x () Rectangular paperboard (sheet) () 3Y (2) If all the cardboard is used up, find the value of X and y (3) If there are 80 pieces of square cardboard and N pieces of rectangular cardboard to make the above two kinds of cartons, the cardboard is just used up, and 162 < n < 172 is known, the value of n is calculated Do it once with binary

① According to the meaning of the question, complete the following table:
Vertical carton (piece) horizontal carton (piece)
x y
Square cardboard x (2Y)
Rectangular cardboard (sheet) (4x) 3Y
② From the meaning of the title
x+2y=50
4x+3y=100
The solution is x = 10,
y=20
③ From the meaning of the title
x+2y=80
4x+3y=n
The solution is y = (320-n) / 5,
∵ y is an integer, ∵ n is a multiple of 5,
And 162

A factory uses rectangular cardboard and square cardboard as shown in figure a to make vertical and horizontal cuboid paperboards as shown in Figure B. There are 120 square cardboard and several rectangular cardboard, all of which are used to make 100 cartons. How many rectangular cardboard are needed?

Suppose x vertical cartons, then there are (100-x) horizontal cartons, ∵ there are 120 square cartons and several rectangular cartons, all of which are used to make 100 cartons, ∵ x + 2 (100-x) = 120, the solution is: x = 80, so there are 80 vertical cartons, then 100-80 horizontal cartons = 20, ∵ each vertical carton needs 4 rectangular cartons, and each horizontal carton needs 3 rectangular cartons, 4 × 80 + 3 × 20 = 380

A cuboid box with a square bottom, if its side is unfolded, a square with a side length of 4 decimeters can be obtained, and the surface area of the cuboid box can be calculated

Cuboid carton, the bottom is square, that is, length = width, the side expansion of cuboid is square, that is, the bottom perimeter of cuboid = height of cuboid, the side expansion of cuboid is a square with side length of 4 decimeters, that is, height = 4 decimeters, the bottom of cuboid is square, that is, the bottom perimeter of long cuboid = 4 * length