5. Cut a cuboid 10 cm long, 8 cm wide and 4 cm high into two cuboids. The sum of the surface areas of the two cuboids is the largest than that of the original cuboid

5. Cut a cuboid 10 cm long, 8 cm wide and 4 cm high into two cuboids. The sum of the surface areas of the two cuboids is the largest than that of the original cuboid


There are three kinds of cutting methods, all of which produce two more faces
1. On the long cut: 8x4x2 = 64
2. Cut on width: 10x4x2 = 80
3. On the high cut: 10x8x2 = 160
The maximum surface area is 160 square centimeters and the minimum is 64 square centimeters



When a cuboid with a length of 8 cm, a width of 6 cm and a height of 4 cm is cut into two cuboids, the maximum sum of the surface area of the cuboid is ()


The maximum sum of surface area is 2 × (8 × 6 + 8 × 4 + 6 × 4) + 2 × 8 × 6 = 304 square centimeter



There are several ways to cut a cuboid 8 cm long, 6 cm wide and 4 cm high into two identical cuboids. What's the change of surface area? How much


There are three cutting methods: ① cutting along the 8 * 6 plane (horizontal direction), ② cutting along the 8 * 4 plane (horizontal from top to bottom), ③ cutting along the 4 * 6 plane (vertical from top to bottom)
The total surface area increased (the area of two sections increased)
① Add 2 * 8 * 6 = 96 square centimeter
② Add 2 * 8 * 4 = 64 square centimeters
③ Add 2 * 4 * 6 = 48 square centimeters



The product of two roots of the equation LG & sup2; X + (LG2 + Lg3) lgx + lg2lg3 = 0 is that x 1x 2 equals 0


From the equation LG & sup2; X + (LG2 + Lg3) lgx + lg2lg3 = 0
We obtain lgx1 + lgx2 = - (LG2 + Lg3) (Veda's theorem)
=lg(x1x2)= -lg6=lg(1/6)
So x1x2 = 1 / 6



They prepared many birthday presents for me


they have prepared many gifts for my birthday.



How many Mu is 100 meters long and 16 meters wide


How many Mu is 100 meters long and 16 meters wide?
1600 square meters = 2.4 Mu



Solving the equations: x + 2Y = 4 (1), 2x-3y = 1 (2)


x+2y=4(1)
2x-3y=1(2)
(1)*2-(2)
7y=7
y=1
Substituting y = 1 into (1) yields
x=4-2=2
The solution of the equations is
x=2
y=1
This equation is very simple, generally through the elimination method to solve the unknown, the solution of the value and then into the equations check



What are the healthy English words


1. Health; health; physique; sound; fit
2. Health; wholesome; sound



Mr. Wang, Mr. Zhang and Mr. Liu jointly undertake the teaching of the six subjects of Chinese, mathematics, English, music, physical education and fine arts in Grade 6, each of them teaching
Now we know that: (1) Mr. Wang likes to talk with PE teacher and music teacher; (2) Mr. Zhang doesn't know foreign languages, but he often goes to listen to music teacher's lectures; (3) math, English teacher and Mr. Wang go to the library together?


Mr. Wang: Chinese and art
Mr. Zhang: Mathematics and physical education
Miss Liu: English, music
Do not understand can ask, help please adopt, thank you!



Bivariate implicit function e ^ - XYZ = 0 total differential (^ = z)


d(e^(-xyz))=e^(-xyz) dx dy dz