There is a rectangular stadium. If its length and width are increased by 6 meters and its area is increased by 1236 bungalows meters, the original perimeter is

There is a rectangular stadium. If its length and width are increased by 6 meters and its area is increased by 1236 bungalows meters, the original perimeter is

Suppose: the original length is a and the width is B
Then (6 + a) (6 + b) - AB = 1236
36+6(a+b)+ab-ab=1236
6(a+b)=1200
a+b=200
The circumference is 2 (a + b) = 400

A rectangular vegetable field is 45 meters in circumference, 17 meters in length, and how many meters in width?
Write out the equation!

The circumference of a rectangle is equal to 2 * (length + width)
45 = 2 * (17 + width)
22.5 = (17 + width)
Width = 5.5m

The circumference of a rectangular vegetable field is 40 meters, and its length is four times of its width. What is the length and width of this rectangular vegetable field?

Let the width be x and the length be 4x
Perimeter is (x + 4x) * 2 = 40
The solution is x = 4 (m)
That is, the width is 4 (m), and the length is 4 * 4 = 16 (m)

How many kinds of cuboids can be placed with 24 cuboids with 1 cm long edges? What is the length, width and height of each cuboid?

Because 24 = 1 × 24 = 2 × 12 = 3 × 8 = 4 × 6 = 2 × 2 × 6 = 2 × 3 × 4, the length, width and height of the assembled cuboids are 24 cm, 1 cm, 1 cm or 12 cm, 2 cm, 1 cm or 8 cm, 3 cm, 1 cm or 6 cm, 4 cm, 1 cm or 6 cm, 2 cm, 2 cm or 4 cm, 3 cm and 2 cm respectively

How many cuboids can you put into different shapes with 24 pieces of square wood with edge length of 1 cm and height of 2 cm?

There are three kinds of cuboids with different shapes: 12 cm long, 1 cm wide, 2 cm long, 6 cm wide, 2 cm wide, 4 cm long and 3 cm wide

How many different ways are there? What are the length, width and height of the cuboid?
Tomorrow

Three

How many spelling methods can you come up with to make a cuboid of 12 cuboids with 1 cm long edges? What is the maximum surface area and the minimum surface area of the cuboid

1*1*12
1*2*6
1*3*4
2*2*3
There are 4 kinds in total
The closer to the cube, the smaller the surface area, and vice versa
The maximum is 1 * 1 * 2 + 1 * 4 * 12 = 50 square centimeters
The minimum is 2 * 2 * 2 + 2 * 4 * 3 = 32 square centimeters

How many different spellings can six small cubes with 1 cm long edges be put together into a cuboid?
Please give an example.

If all six cubes are required to be used, there are only two sizes: 1 * 1 * 6; 1 * 2 * 3;
If it is not required to use all, there are 1 + 1 + 1 + 2 + 1 + 2 = 8 sizes: 1 * 1 * 1, 1 * 1 * 2; 1 * 1 * 3; 1 * 1 * 4; 1 * 2 * 2; 1 * 1 * 5; 1 * 1 * 6 and 1 * 2 * 3

There are several ways to make a cuboid with six cubes of the same size and shape

Two, six in a row, three in a row, two in a row

There are 24 small cubes with edge length of 1cm, and they are put together into a cuboid, with a total of______ The surface area of the cuboid is the smallest______ Square centimeter

24 = 2 × 2 × 2 × 3, so 24 can be written as: 2 × 12, 4 × 6, 24 × 1, 2 × 4 × 3, 2 × 2 × 6. ① 2 × 12 arrangement, length, width and height are 12 cm, 2 cm and 1 cm respectively, and the surface area is (12 × 1 + 12 × 2 + 2 × 1) × 2 = 38 × 2 = 76 (square cm). ② 3 × 8 arrangement: length, width and height are 8 cm, 3 cm and 1 cm respectively, and the surface area is (8 × 3 + 8 × 1 + 3 × 1) × 2 = 35 × 2 = 70 (square cm) ③ 4 × 6 arrangement: length, width and height are respectively 6cm, 4cm and 1cm, surface area is: (6 × 4 + 6 × 1 + 4 × 1) × 2 = 34 × 2 = 68 (square centimeter) ④ 24 × 1 arrangement: length, width and height are respectively 24cm, 1cm and 1cm, surface area is: (24 × 1 + 24 × 1 + 1 × 1) × 2 = 49 × 2 = 98 (square centimeter) ⑤ 2 × 4 × 3, length, width and height are respectively 4cm, 3cm and 2cm, surface area is: (4 × 3 + 4 × 2 + 3 × 2) × 2 = 26 × 2 = 52 (square centimeter) 6 2 × 2 × 6, length, width and height are 6cm, 2cm and 2cm respectively, and the surface area is: (6 × 2 + 6 × 2 + 2 × 2) × 2 = 28 × 2 = 56 (square centimeter) a: there are six different spellings, and the minimum surface area is 52square centimeter