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Use three cuboids that are 3cm long, 2cm wide and 1cm high to form a large cuboid with the smallest surface area. How many square centimeters is the surface area of this cuboid
If you want to make the smallest, you have to put the largest together,
Therefore, it is a cuboid with a length of 3cm, a width of 2cm and a height of 3cm
The surface area is (3 × 2 + 3 × 3 + 2 × 3) × 2 = 42 square centimeters
An empty cuboid container is 50 cm long, 40 cm wide and 30 cm high. Another cuboid container is 40 cm long, 30 cm wide and contains 24 cm deep water
Pour the water container into the empty cuboid container until the water in the two containers is at the same height. At this time, the water depth is several centimeters
Solution 1: suppose the water depth is a centimeter after pouring
Then: 50x40xa + 40x30xa = 40x30x24 (the sum of water volume in two containers after pouring water = the water volume before pouring water on the right)
(50+30)a=720
a=9
The water depth is 9 cm
Solution 2: water volume △ sum of bottom areas of two containers = water height
40x30x24÷（54x40+40x30）=9
The water depth is 9 cm
There are cuboid containers a (length 40, width 30) and B (length 30, width 20). A is empty, and B has water 24 cm deep. Pour part of the water in container B to a,
What is the water depth when the water depth in two containers is equal? (unit: cm)
Let the water depth be X
40*30*x+30*20*x=30*20*24
(12+6)x=144
x=8
At this time, the water depth is 8 cm
The bottom and height of a triangle and a parallelogram are equal. The area of the parallelogram is 0.18dm square larger than that of the triangle
The sum of areas is the square of DM
Area sum = 0.18 × (1 + 2) = 0.54 square decimeter
The vertex formula of quadratic function is y = (X-H) ^ 2 + K. what does bracket (X-H) mean? Why is this quadratic function called vertex formula
This is not easy to write. But to tell you the truth, this should be the most basic one in mathematics!
Given that the polynomial 2mx ^ m + 2 + 4x-7 is a cubic polynomial of X, what is m equal to
Given that the polynomial 2mx ^ (M + 2) + 4x-7 is a cubic polynomial of X, what is m equal to
A cubic polynomial must have a cubic power, so m = 3
If the length of a rectangle is increased by 1.5 cm and the width is unchanged, the area will be increased by 15 square cm. If the length of the original rectangle is 20 cm, how many cm is the width?
I didn't learn to solve equations,
Width = 15 / 1.5 = 10 (CM)
If the image of a function is only in the first and second quadrants, then the value of the function () A. is both positive and B. is both negative and C
If the image of a function is only in the first and second quadrants, then the value of the function () A. is all positive, B. is all negative, C. is all non negative, D. which number to choose?
A is all positive
It is proved that the two partial derivatives of F (x, y) exist at (0,0), but they are discontinuous at (0,0)
Six people in a row, the probability of three people just adjacent to each other is
A33A44÷A66=1/5=20%
RELATED INFORMATIONS
- 1. There is an empty cuboid container a 40 cm long, 30 cm wide and 20 cm high. There is another cuboid container B 30 cm long, 20 cm wide and 24 cm deep. Now pour part of B's total water to a so that the water in the two containers is the same height. How many cm deep is the container
- 2. The length, width and height of a cuboid container are 60cm, 40cm and 30cm respectively. The original height of the water surface is 25cm. After putting it into a cuboid container The length, width and height of a cuboid container are 60cm, 40cm and 30cm respectively. The original height of the water surface is 25cm. After putting in a cuboid iron block, all the iron blocks are submerged in the water, and the height of the water surface rises to 28cm. The length of the iron block is 20cm, the width is 15cm, and how many centimeters are behind the iron block?
- 3. A and B are two cuboid containers. Container a is 40 cm long, 30 cm wide and 24 cm high. Container B is 20 cm long, 20 cm wide and 36 cm deep. Pour the water in container B into container a until the water depth in the two containers is the same. How many mm is the water depth in both containers?
- 4. A. The bottom area ratio of two cylindrical containers B is 4:3. The water depth of container a is 20 cm, and that of container B is 10 cm. Now, the same amount of water is injected into the two containers to make the water depth of the containers equal. At this time, the water depth of container a is 20 cm, and that of container B is 10 cm______ Cm
- 5. My mother put some potatoes in a cylindrical container with a bottom area of 40 square centimeters to clean. At this time, the water depth in the container was 30 cm. After taking out the potatoes, the water dropped by 3 cm. What was the volume of these potatoes______ Cubic centimeter
- 6. In a rectangular container 20 decimeters long and 15 decimeters wide, there is water 20 decimeters deep. Now a cube iron block is sunk in the water, and the water surface rises 09 decimeters. What's the volume of this cube iron? 2. There are three cube iron blocks, their surface areas are 24 square centimeters, 54 square centimeters and 294 square centimeters respectively. Now dissolve the three iron blocks into a big cube, and find the area of the big cube
- 7. In a cuboid water tank of 15 decimeters long and 12 decimeters wide, there is 10 decimeters deep water. If a square iron block with 2 decimeters long edge is sunk in the water, then How high is the water in the tank now?
- 8. In a square water tank with 20 cm edge length (measured from the inside) filled with water, there is a 16 cm long, 10 cm wide rectangular iron block When the iron is taken out, the water in the water tank drops by 2cm. What is the height of the iron?
- 9. In a square water tank full of water with 20 cm long edges, there is a rectangular iron block immersed in water, which is 10 cm long and 8 cm wide. When the iron block is taken out, the water level drops by 2 cm. What is the height of this rectangular iron block?
- 10. In a cuboid basin with a length of CM, a width of CM, and a depth of CM, the water depth is 20 cm. If you put a cube stone with an edge length of 10 cm in the basin, it will be very difficult How many centimeters will basin reed water go up? It is 50 cm long 40 cm wide 30 cm deep
- 11. The circumference of the bottom of the cuboid is 36 cm and the height is 8 cm. The total length of the edges of the cuboid is () cm
- 12. The circumference of the bottom of a cuboid is 36 cm, and the height is 8 cm. What is the total length of the edges of the cuboid?
- 13. A cuboid is 8 cm in height, 1 / 2 in width and 5 / 4 in width. The cuboid is () cm in width, () cm in length, () cm in edge length, () m3 in volume and () cm2 in surface area
- 14. A cube lead block with an edge length of 8 cm is installed in a cuboid glass tank of 16 cm long, 10 cm wide and 20 cm high, and then some water is put into the tank to completely submerge the cube lead block. When the lead block is taken out of the tank, how many cm will the water in the tank drop?
- 15. In a cylindrical glass tank with a bottom radius of 10 cm and a water depth of 8 cm, an iron block of 8 cm in length and width and 15 cm in height should be placed in the tank 1. How many centimeters will the water surface rise when the iron block is placed horizontally in the water? 2. Put the iron block in the water vertically, how many centimeters will the water rise?
- 16. In a cylindrical bottle with a bottom radius of 10 cm, the water depth is 8 cm. To put a piece of iron in the bottle, which is 8 cm in length and 15 cm in width and 15 cm in height, how many cm does the water surface rise when the iron is placed vertically in the water?
- 17. In a cylindrical bottle with a bottom radius of 10 cm, the water depth is 8 cm. To put a piece of iron in the bottle, which is 8 cm in length and 15 cm in width and 15 cm in height, how many cm does the water surface rise when the iron is placed vertically in the water?
- 18. A cuboid food box is 10 cm long, 8 cm wide and 12 cm high. Stick a circle of brand paper around it. How many square centimeters should the area of brand paper be at least?
- 19. A rectangular food box is 8 cm long, 6 cm wide and 10 cm high. If a circle of brand paper is pasted around the food box, how many square meters is the area of the brand paper at least?
- 20. Cut a cuboid 16 cm long, 8 cm wide and 10 cm high into two cuboids of exactly the same shape and size. What is the maximum and minimum surface area of the cuboid?