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A cuboid glass can is 12 cm long, 8 cm wide and 5 cm high. When it is placed horizontally, the water depth is 3 cm. When it is placed vertically, how many cm is the water depth?
2 cm. The algorithm is as follows: 1. Calculate the volume when it is placed horizontally: 12 * 8 * 3 = 288 2. When it is placed vertically, the height is 12 cm, the length is 8, and the width is 5, so 288 / 40 = 7.2
[a math problem] there is a cuboid 30 cm long and 20 cm wide, which contains 10 cm deep water. The existing one is 8 cm long and 8 cm wide
There is a cuboid 30 cm long and 20 cm wide, which contains water 10 cm deep. There is a cuboid iron block 8 cm long and 8 cm wide and 15 cm high
1. If the iron block is completely immersed in the water horizontally, how many centimeters does the water surface rise?
2. How many centimeters does the water surface rise if the iron block is put into the container horizontally
1.8 × 8 × 15 ^ (30 × 20) = 1.6cm 2.30 × 20 × 10 ^ (30 × 20-8 × 8) - 10 = 1.2cm
From a cuboid 8 cm long
A cuboid with a volume of 27 cubic centimeters can be cut off from a cuboid with a length of 8 cm. What is the original surface area of the cuboid?
Great, you are also in grade five? The answer is like this: 27 = 3 × 3 × 3, so the edge length of the cube is 3cm, so if you calculate (3 × 8 + 3 × 8 + 3 × 3) × 2 = 114cm, the surface area is 114cm
A cuboid container, 15 cm long, 10 cm wide and 8 cm high, containing 4 cm deep water, is now put into a container with a bottom area of 30 cm,
How many centimeters will the water surface rise with a rectangular iron block 16 cm high?
3.2cm
The volume of water is 15 * 10 * 4 = 600
The volume after adding iron block is 600 + 30 * 16 = 1080
The height after adding iron block is 1080 / (15 * 10) = 7.2
7.2-4 = 3.2cm rise height
Do you have the surname Xian? Or what is the pronunciation of Xian
I know there is a Xian, Xian Xinghai
It is known that the equation of hyperbola is x2a2 − y2b2 = 1 (a > 0, b > 0), the right branch of hyperbola with slope 33 is at point P, and the y-axis bisector line f1p, then the eccentricity of hyperbola is ()
A. 2B. 5+1C. 3D. 2+3
The equation of the line L passing through the focus F1 (- C, 0) is y = 33 (x + C). The right branch of the hyperbola of the intersection of the line L and the bisector of the y-axis f1p intersects the y-axis at the point Q (0, 33c). Let the coordinates of the point p be (x, y), ∧ x + C = 2c, y = 23c3p, and the coordinates of the point (C, 23C3) be substituted into the hyperbolic equation to obtain: 1A2 − 43b2 = 1
Mathematics (percentage application:
1. Last year, Xinfeng electric company planned to generate profits tax of 1.98 million yuan, and the actual profits tax of 2.16 million yuan. How much more than the original plan? (one decimal place before the percent sign)
2. The price of an induction cooker in sunshine supermarket is 320 yuan, which is 80 yuan cheaper than the original price. How much lower is the price of induction cooker?
3. 2250 yuan for an electric refrigerator, 1350 yuan for a washing machine and 1620 yuan for a TV set
(1) How much cheaper is an electric refrigerator than a TV set
(2) How much cheaper is the washing machine than the TV
(3) How much cheaper is washing machine than electric freezer?
1) (216-198) △ 198 = about 9.1%
2）80÷（320+80）=20%
3）
(1) How much is the electric refrigerator (cheaper) than the TV (more expensive)
(2250-1620) △ 1620 = about 38.9%
(2) How much cheaper is the washing machine than the TV
(1620-1350) △ 1620 = about 16.7%
(3) How much cheaper is washing machine than electric freezer?
（2250-1350）÷2250=40%
Exponential equation and logarithmic equation
1) If logx2 √ 2 = 3 / 4, then x=
2) The solution set of log equation log3 (x-1) + log3 (x + 1) = 1 is
3) The solution of log equation log4 (3x-2) = log2 (X-2) is
4) Exponential equation 5 ^ X-5 ^ - x + 1-4 = 0
1.x^(3/4)=2√2=2^(3/2)=4^(3/4) x=4
2. X-1 > 0 and X + 1 > 0, so x > 1
The original equation becomes x ^ 2-1 = 3, x ^ 2 = 4, x = - 2 or x = 2, because x > 1
So the solution set of x = 2 is {2}
3 X-2 > 0 and X-2 > 0, so x > 2
log4(3x-2)=log2(x-2)=log4(x-2)^2
3x-2=x^2-4x+4
X ^ 2-7x + 6 = 0, x = 1 or x = 6 because x > 2
So x = 6
4. Let 5 ^ x = t > 0
The original equation becomes T-5 / T + 4 = 0
T ^ 2 + 4t-5 = 0, t = 1 or T = - 5 because t > 0
So t = 1
5^x=1 x=0
What is the volume of the object generated by the curve arc y = cos x (- π / 2 ≤ x ≤ π / 2) and the figure enclosed by X axis rotating around Y axis?
God, you really don't know? No, no, think again.
Challenge your IQ
It is known that | a | = - A, the result obtained by simplifying | A-1 | - | A-2 |, is ()
|A | = - A indicates that a is a negative number
|a-1|=1-a
|a-2|=2-a
|a-1|-|a-2|=1-a-2+a=-1
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