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Mathematical answers to small questions
A cuboid with the same height and the same bottom, if the height is increased by 3 cm, the length and width will remain unchanged; If it is often increased by 4 cm, the height and width will remain unchanged; Their volume has increased by 24 cubic centimeters, so what is the surface area of the original cuboid?

The length, width and height are a, b and h respectively.

ab(h+3)-abh=24,3ab=24,ab=8

(a+4)bh-abh=24,4bh=24,bh=6

When the side length is an integer, there are finite solutions: a=4, b=2, h=3, and the original surface area of a cuboid is 42cm^2;; ; A=8,b= 1,h=6。 The original surface area of a cuboid is124 cm 22.

There are two rectangular containers, A and B. The second container is empty, while the first container is 9 cm long and 6 cm wide. There is water 3 cm deep in the container. Now pour the water into two containers at the same time. After each container reaches 8 1 ml, the water levels of the two containers are the same. What is the bottom area of container B?

8 1/54 = 1.5,8 1/( 1.5+3)= 18 cm2。

There are two rectangular containers a and b. Container A is 2.4 decimeters long and 65,438+0.5 decimeters wide. There is water 5 cm deep in the container. Container b is empty. Now, water is poured into two containers at the same time, and 1.8 liters is poured every minute. After 5 minutes, the water levels of the two containers are the same. What is the bottom area of container B?

1.8 * 5 = 9,9/(2.4 *1.5) = 2.5,9/(2.5+0.5) = 3 square decimeter.

Five cuboids with length, width and height of 5cm, 5cm and 1cm are stacked to form a cube. How many square centimeters is the surface area of this cube smaller than the sum of five cuboids?

2*4*5*5=200 square centimeters;

If a and b represent two numbers, then a⊙b=3b-(b-a)×2, and the evaluation is 2⊙(3⊙6)⊙ 10.

2⊙(3⊙6)⊙ 10= 2⊙(3*6-(6-3)*2)⊙ 10=2⊙ 12⊙ 10= 16⊙ 10= 18

The top angle of an isosceles triangle is 65 degrees, and the bottom angle is (57.5) degrees. According to the angle, it is a (pointed) triangle.

Bar charts represent certain data (vertical axis), which are drawn into bars according to the quantity and then arranged in a certain order.

When making a statistical chart, you must (first) fill the data into the table by classification, and write down the (title) of the statistical table, indicating (name) and (type).

If the decimal part of a number is enlarged by four times, the number is 4.2, and if it is enlarged by six times, the number is 5.8, which turned out to be (c) a.4.9b.3.4c.1.8d.5.2.

If a positive decimal part is expanded four times, the number is 3.4; If expanded by 7 times, this number is 5.2, and this number is originally (1.6).

When two numbers are divided, the sum of dividend, divisor, quotient and remainder is 9.6. If the dividend \ divisor is expanded by 10 times, the quotient is 3+9, the dividend is (4.5), and the divisor is (1.2).

If both the dividend and the divisor are enlarged by 10, the quotient remains unchanged and the remainder is enlarged by 10.

Quotient 3, original remainder 9/ 10=0.9.

Dividend+Divider =9.6-3-0.9=5.7 (1)

Dividend = Dividend *3+0.9 (2)

Solution, divisor = 1.2, dividend =4.5.

When the two numbers are added, Xiao Ming subtracts them by mistake, and the result is 8.6, which is less than the correct answer 10.4. The original larger number is (13.8).

10.4/2 = 5.2- small number

The sum of numbers A and B is 17 1.6. If the decimal point of the number B is shifted one place to the right, it is equal to the number A, then the number A is (156) and the number B is (15.6).

Moving the decimal point of number B to the right by one place is equal to number A, which means that number A is 10 times of number B.

When a number is divided by 3 15, the quotient is a two-digit number. Such a number is (b) a.1b.89c.90d.99.

X/3 15= two digits, 10-99, including 90 digits.

Make a five-digit number with two zeros and three fives. How many?

55500\55050\55005\50550\50505\50055

Xiao Fang is doing an addition problem. He regards 5 in the unit as 9 and 8 in one tenth as 3. The result is 123 and the correct answer should be (169).

The sum of two integers is 198. If the product of these two numbers is the largest, these two numbers are (99) and (99).

198 is regarded as the sum of length and width.

There are six natural numbers, and the difference between every two adjacent numbers is 4. If the first number is a, the sum of these six natural numbers is (6a+20).

(a+a+20 )*6/2=6a+20

The difference between every two adjacent numbers is 4.

Looking for patterns: 0.2, 0.5, 1. 1, (2.3), 4.7, 9.5,19.

Double the previous number plus 0. 1.

Subtract 2, subtract 24 and subtract 26. Really or not?

wrong

Increase by 22

Calculation problem:

2006+200.6+20.06+2.006

=2000+200+20+2+6+0.6+0.06+0.006=2228.666

( 1.25×2.7×5. 1)÷(8. 1×0.25× 1.7)

=5

In the painting; Be involved

6. 10 times; 8. 1 m2

Surface area = 6s = 6 *10s =10 * 6s =10 * 0.81= 8.1.

Unchanged

2a*3b*c/6=abc

(a- 1)* b *(h+3)-abh = 3ab-BH-3b

Side length of the cube: 24/(4*4)= 1.5.

Cuboid area = 2 *1.5 *1.5+4 *1.5 * (1.5+4) = 37.5cm2.

10.4 times