What are the characteristics of cuboid, cube, cylinder and cone? What are the surface area and volume formulas of these figures? Hurry up

Cuboid (V: Volume s: Area A: length B: width H: height)
(1) Surface area (L × W + L × H + W × h) × 2 s = 2 (AB + ah + BH)
(2) Volume = length × width × height v = ABH
Cube (V: Volume A: edge length)
Surface area = edge length × edge length × 6 s surface = a × a × 6
Volume = edge length × edge length × edge length v = a × a × a
Cylinder (V: Volume H: height s: bottom area R: bottom radius C: bottom perimeter)
(1) Side area = perimeter of bottom surface × height = CH (2 π R or π d) (2) surface area = side area + bottom area × 2
(3) Volume = bottom area × height (4) volume = side area △ 2 × radius
Cone (V: Volume H: height s: bottom area R: bottom radius)
Volume = bottom area × height △ 3
Cuboid features
All six faces are rectangular (sometimes two opposite faces are square)
The area of the opposite face is equal, and the length of the four opposite edges is equal
There are eight vertices
The length of three edges intersecting a vertex is called length, width and height
The edge where two faces intersect is called an edge
The point where the three edges meet is called the vertex
Put the cuboid on the table, you can only see three sides at most
The total area of six sides of a cuboid or cube is called its surface area
Characteristics of cube
All six sides are square
The areas of the six faces are equal
All the 12 edges are equal in length
There are eight vertices
A cube can be regarded as a special cuboid
The upper and lower sides of a cylinder are called the bottom
A cylinder has a curved surface called a side
The distance between the two bottoms of a cylinder is called height
The bottom of the cone is a circle and the side of the cone is a curved surface
The distance from the apex of the cone to the center of the circle is the height of the cone
Measure the height of the cone: first put the bottom of the cone flat, use a flat plate horizontally on the top of the cone, and measure the distance between the flat plate and the bottom vertically
Expand the sides of the cone to form a sector

The perimeter of a rectangle is 120 meters, the ratio of length to width is 3:2, and its area is______ ．

A: the area of this rectangle is 864 square meters. So the answer is: 864 square meters

In a / 3 + B / 5 + C / 7 ≈ 1.16, a, B, C are all continuous integers. The answer is the approximate value of the sum of the three fractions calculated by the rounding method. What are a, B, C?

Multiply the left and right sides of the original formula by 105 at the same time to get 35A + 21b + 15C = 121.8. Let three numbers be X-1, x, x + 1 into the original formula 35 (x-1) + 21x + 15 (x + 1) = 121.871x-20 = 121.871x = 101.8x = 1.433x = 1, take in the test 1 / 3 + 2 / 5 + 3 / 7 = 1.1619, and round to 1.16. The method is very direct. I don't know if you want to

A 470 meter long train passes the 1030 meter long bridge in 1 minute and 20 seconds, and then passes a tunnel in 40 seconds at the same speed. How long is the tunnel?

1 minute 20 seconds = 80 seconds, [(470 + 1030) △ 80] × 40-470 = 18.75 × 40-470 = 750-470 = 280 meters; answer: the tunnel is 280 meters long

Cut a circle into several equal parts along the radius, and then put it together into a rectangle. It is known that the length of the rectangle is 8.28 meters more than the width. What is the area of the circle in square centimeter

Because: the length of the rectangle is 8.28 meters more than the width,
So, we can get: π R-R = 8.28
r=3.87
So, s circle = π R ^ 2 = 47.03 (M2)

If we know that the power a of 10 is 2, and the power B of 10 is 3, then the power 100=

100^[(3/2)a-(1/3)b]
=100^[(3/2)a] / 100^[(1/3)b]
100^[(3/2)a]
=(10^2)^[(3/2)a]
=10^[2*3/2*a]
=10^[3a]
=(10^a)^3=2^3=8
100^[(1/3)b]
=(10^2)^[(1/3)b]
=10^[2*1/3*b]
=10^[2/3*b]
=(10^b)^(2/3)=3^(2/3)=9^(1/3)
(the result is written as 9 under the root of three times. I can't write it here...)
100^[(3/2)a-(1/3)b]
=100^[(3/2)a] / 100^[(1/3)b]
=8/（9^(1/3)）
The basic formula used is:
x^(a-b)=x^a/x^b
x^(ab)=(x^a)^b
(^ this symbol indicates that the following is an index)

A communication company has two kinds of mobile phone billing methods as follows: Global monthly fee 50 yuan, monthly local telephone fee 0.4 yuan per minute, Shenzhouxing monthly fee 0, local telephone fee 0
If you call for X minutes per month, the cost of the two payment methods are Y1 and Y2 yuan respectively. Answer the following questions: (1) write down the relationship between y1y2 and X; (2) how long does it last per month, and the two kinds of charges will be the same? (3) if someone estimates 300 minutes per month, which payment method is more cost-effective?

Y1 = 0.4x + 50y2 = 0.6x2) how long does it last per month, and there will be two kinds of same billing? (Y1 = Y2 is 0.4x + 50 = 0.6x0.2x = 50x = 25 minutes. (3) if someone estimates 300 minutes per month, which payment method is more cost-effective? Put x = 300 into Y1, y2y1 = 0.4 × 300 + 50, Y1 = 170y2 = 0

As shown in the figure, in the trapezoidal ABCD, ad is parallel to BC, M is the midpoint of AB, and DM bisects the angle ADC, ad = 3cm, BC = 7cm to calculate the DC length
A good man is safe all his life

Make Mn ∥ AD and hand CD to n
∠ADM=∠DMN
DM bisector ADC
∠ADM=∠CDM
∠DMN=∠CDM
Delta DMN is isosceles triangle
DN=MN
∵ m is the midpoint of ab
∴CN=DN
MN=(AD+BC)/2=5
DC=CN+DN=2MN=10cm

The negative 7th power of 10 multiplied by the 3rd power of 10 is equal to?

The negative fourth power of 10

Mr. Zhang was very busy at work and didn't go home for five days. After returning home, he tore off the calendar of the five days. The sum of the five days' dates is 45. What's the date of Mr. Zhang's coming home?

Let the number in the middle of the five numbers be x, then the consecutive numbers are X-2, X-1, x, x + 1, x + 2, with X-2 + X-1 + X + X + 1 + X + 2 = 45. The solution is: x = 9, the day when I go home is x + 3 = 12. A: the day when Mr. Zhang goes home is the 12th

What are the characteristics of cuboid, cube, cylinder and cone? What are the surface area and volume formulas of these figures? Hurry up