A cuboid container, measured from the inside, is 6 decimeters long and 4 decimeters wide, and a cylindrical container, measured from the inside, has a bottom area of 8 square decimeters and a height of 6 decimeters. Fill the cuboid container with water and pour it into the cylindrical container. When the water in the cylindrical container is several decimeters high, the water in the two containers is the same?

A cuboid container, measured from the inside, is 6 decimeters long and 4 decimeters wide, and a cylindrical container, measured from the inside, has a bottom area of 8 square decimeters and a height of 6 decimeters. Fill the cuboid container with water and pour it into the cylindrical container. When the water in the cylindrical container is several decimeters high, the water in the two containers is the same?

6*4*3=72
72\2=36
36\8=4.5
So it's 4.5 decimeters

The area of a rectangle is 24 square centimeters. If one side of the rectangle is increased by 1 / 4 and the other side by 1 / 6, what is the area of the expanded rectangle?

Let's assume that the length is x and the width is y. according to the meaning of the question, xy = 24. Later we know that if the length increases by 1 / 4 and the width increases by 1 / 6 (vice versa), then x (1 + 1 / 4) y (1 + 1 / 6) = XY (1 + 1 / 4) (1 + 1 / 6) = 24 * (5 / 4) * (7 / 6) = 35
So the expanded area is 35 square centimeters

Sixth grade math problems (may be easy for you)
1. The 41st World Expo will open in Shanghai on May 1, 2010. As of May 2009, the number of participating countries is twice less than that of participating in 2005 Aichi World Expo. There are 121 countries participating in 2005 Aichi World Expo. How many countries have participated in Shanghai World Expo?
2. In order to measure the volume of an egg, Xiao Ming carried out an experiment according to the following steps: ① put a certain amount of water into a cylindrical glass with a bottom diameter of 8 cm, and the height of the water surface is 5 cm; ② put the egg into the water, and the height of sleep is 6 cm again. If the thickness of the glass is ignored, what is the volume of the egg?
Expression

121 × 2 = 242
242-4 = 238
A: at present, 238 countries have participated in the Shanghai World Expo
[π≈3.14]
8 △ 2 = 4 (CM)
14 × 4 & # 178; = 50.24 (cm2)
6-5 = 1 (CM)
50.24 × 1 = 50.24 (cm3)
I do not understand it! This question is only for primary school students reference!
That's it!

Sixth grade math problems (may be easy for you)
1. Chen Qiang made a cylindrical learning tool with plasticine. The diameter of the bottom of the cylinder is 4cm and the height is 6cm. If he made a cuboid paper box without cover, how many square centimeters of hard paper would it take to make the plasticine cylinder fit in?
2. Use some small squares with side length of 1 cm to form a row to get a rectangle (complete the table below)
(1) The number of squares: 1 2 3 4 5 n
Length of rectangle (CM): 4 6 8
(2) When n = 20, what is the perimeter of the rectangle
3. A store sells both new and old sports shoes at 84 yuan. A new pair of sports shoes can earn 20%, and an old pair of sports shoes will lose 20%. In terms of these two pairs of sports shoes, does the store earn or lose? How many yuan do they earn or lose?
4. If there are 2 people in each room, 14 people have no beds. If there are 3 people in each room, there are 2 more beds?
The first question of the second question is wrong
1 2 3 4 5 … n
4 6 8 …

4 × 4 × 2 = 32 cm and 178; 4 × 6 = 24 cm and 178; 24 × 3 = 72 cm and 178; 32 + 72 = 104 cm and 178; a: at least 104 cm and 178 more hard paper is needed. 12 × 1 + 2 = 42 × 2 + 2 = 63 × 3 + 2 = 8 When n = 20, 2n + 2 = 42 and 84 × 2 = 168 (yuan) 84 △ 1 +

The application of mathematical problems is easy to calculate, remember, to be simple!
The screen theater sold 7380 tickets yesterday and the day before yesterday. There are three movies a day. How many tickets are sold for each movie on average?

7380÷（3×2）
=7380÷6
=1230 (sheet)
I don't know if it's right. It should be like this
Or not:
7380 △ 2 = 3690 (sheet)
3690 △ 3 = 1230 (sheet)

1 / 105 △ 1 / 7-91 / 3) - 1 / 5] = 1 / 105 * 7 + 1 / 105 * 3-1 / 105 * 5 = 1 / 15 + 1 / 35-1 / 21 what's wrong
1 / 105 △ 1 / 7 - (- 1 / 3) - 1 / 5] = 1 / 105 * 7 + 1 / 105 * 3-1 / 105 * 5 = 1 / 15 + 1 / 35-1 / 21 = 1 / 21 what's wrong

Wrong operation law. Division does not have this operation law. It should first calculate in brackets, then in brackets, and finally multiply by the reciprocal in brackets

0, - 1, - 78, 0.5 from small to large

―78 ―1 0 0.5

Divide the six numbers 13, 15, 22, 42, 55, 91 into two groups to make the product of the three numbers in each group equal

15 91 22
55 13 42

Divide the six numbers 15, 26, 42, 44, 55, 91 into two groups. How to make the product of three numbers in each group equal?

Factorization. Divided into two groups, a, B
15=3*5 26=2*13 42=7*2*3 44=2*2*11 55=5*11 91=7*13
Observe that 15 and 44 must be one group and 55 another
26,42 must be a group and 91 a group
Obviously, 15,44,91 were in one group and 26,42,55 in the other

3 6 10 15 21 28 rule
Give reasons

3 = 2 * 3 / 2 (the first number)
6 = 3 * 4 / 2 (second number)
10 = 4 * 5 / 2 (the third number)
15 = 5 * 6 / 2 (the fourth number)
21 = 6 * 7 / 2 (the fifth number)
28 = 7 * 8 / 2 (the sixth number)
So we know that the nth number is
(n+1)(n+2)/2
In this way, you can count any number you want
The next number is
8*9/2=36