A piece of 8 cm long and 6 decimeter wide rectangular iron sheet is rolled into a cuboid with a square bottom. What is the maximum volume of this cuboid?

If the cuboid is empty at the top and bottom, it is a square iron cylinder with a side length of 60 / 4 = 15 cm and a volume of 15 * 15 * 8 = 1800 cubic cm

In order to measure the volume of a potato, Xiao Ming carried out the experiment according to the following steps. He put a certain amount of water into a cylindrical glass with a bottom diameter of 12 cm
The height of the water surface is 7 cm. Put the potato into the water and measure the water surface again. The result is 8 cm. If the thickness of the glass is ignored, what is the volume of the potato? Use the balance to weigh the mass of the potato as 300 g. can you use the knowledge you have learned to calculate the volume of a potato with a mass of 500 g, Thank you very much

Radius 12 △ 2 = 6cm
Volume 6x6x3.14x (8-7) = 113.04 CC
The volume of 500g is 113.04 △ 300x500 = 188.4cm
If other problems are added,

The wheel diameter is 1.2m, and the running speed is 43.2km/h,

Speed 43.2km/h = 12m / S
So the speed of the wheel is 10 / Pie circle / s
One revolution is two radians, so the angular velocity is 20 rad / s

Use the method of junior high school to solve the following equation. 5x-8 = 8x + 12-3x = 4-2

5x-8=8x+1
8x-5x=-8-1;
3x=-9;
x=-3;
2-3x=4-2
-3x=4-2-2;
-3x=0;
x=0;
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As shown in the figure, cut a square with a side length of B (B ＞ 2 / a) around a square cardboard with a side length of A. 1, and use the algebraic formula to represent the shadow part
2. Calculate the shadow area when a = l7.4 and B = 3.7 by factorization

Shadow area = a * A-4 * b * b = A & # 178; - 4B & # 178;
a²-4b²=(a+2b)(a-2b)
=(17.4+2*3.7)(17.4-2*3.7)
=24.8*10
=248

According to the velocity formula v = s / T of uniform linear motion, one of the options in this multiple choice question is that the velocity of an object is determined by displacement and time

The velocity of an object is determined by displacement and time
Wrong
Speed indicates that the object is in this state of motion
It's not because of how much displacement you've walked or how long you've spent,
It's because the body is in balance and has an initial velocity
But the velocity can be calculated by time displacement and the direction can also be judged

Equation (x is unknown) 8 / 1 △ 4 / 3x = 3

8/1÷4/3X=3
8/1÷3=4/3X
24/1=4/3X
X=18/1

If the diameter of the bottom area of the cone is 8 and the length of the generatrix is 12, then the central angle of the fan-shaped circle in the side expanded view of the cone is

The diameter of the bottom surface is 8, the perimeter is 8 π, the length of the generatrix is 12, which is the radius of the fan after expansion, and the perimeter of the cone bottom surface is the arc length of the fan, so the center angle of the circle is the arc length divided by the radius, which is three quarters of the pie, that is 135 degrees

As shown in the figure, in the triangle ABC, the angle ABC equals 90 degrees, BD perpendicular to the foot AC equals D, the angle CBD equals a, AB equals 3, BC equals 4
Finding the value of sina, cosa and Tana
Angle a in triangle BDC, BD perpendicular to AC

∵∠ABC=90
∴∠A+∠C=90,AC=√（AB²+BC²）＝√（9+16）＝5
∴BD⊥AC
∵∠CBD+∠C=90
∴∠A=∠CBD=a
∴sina=BC/AC=4/5,
cosa=AB/AC=3/5
tana=BC/AB=4/3

A problem of absolute value inequality
It is known that | x | ≤ 1, | y | ≤ 1, f (x, y) = | x + y | + | y + 1 | + | 2y-x-4|
Finding the maximum and minimum of F (x, y)

Because | x | ≤ 1, | y | ≤ 1
So y + 1 ≥ 0,2y-x-4

A piece of 8 cm long and 6 decimeter wide rectangular iron sheet is rolled into a cuboid with a square bottom. What is the maximum volume of this cuboid?