The bottom area of a cuboid is 6 square decimeters, and the height is 15 centimeters. The volume is calculated

The bottom area of a cuboid is 6 square decimeters, and the height is 15 centimeters. The volume is calculated


6 × 1.5 = 9 cubic decimeter
A: the volume is 9 cubic decimeters



A cuboid container with a length of 18 cm, a width of 15 cm and a height of 10 cm is full of water. If all the water is poured into another cylindrical container with a bottom area of 54 square cm and a height enough, how many cm is the water depth?


Happiness is great,
The water is as follows:
18 × 15 × 10 = 2700 (cm3)
Water depth:
2700 △ 54 = 50 (CM)



If the surface area of a cuboid is 54 square centimeters, in order to maximize the cuboid volume, the length, width and height of the cuboid should be______ Cm


The area of each surface is: 54 square centimeter △ 6 = 9 square centimeter; the length, width and height of the cuboid are equal, because 3 × 3 = 9, so the length, width and height of the cuboid should be 3, 3 and 3 cm respectively. Answer: if the surface area of a cuboid is 54 square centimeter, in order to make the cuboid the largest, the length, width and height of the cuboid should be 3, 3 and 3 cm respectively



The ratio of the three numbers of a, B and C is 1:2:3. The average of the three numbers is 60. What are the three numbers


A = 60 × 3 × 1 / (1 + 2 + 3) = 30
B = 30 × 2 = 60
C = 30 × 3 = 90



Define some kind of operation: a ⊕ B = a (a > b), if 1 ⊕ 2x − 32 = 1, then the value range of X is______ .


⊕ a ⊕ B = a (a ⊕ b), 1 ⊕ 2x − 32 = 1, ⊕ 2x − 32 < 1, the solution is x < 52



The sum of a and B is 16.5, the decimal point of a moves one place to the right, which is exactly the number of B, and the number of a is ()
A. 15B. 1.5C. 8.75D. 11


A: the number of a is 1.5



It is known that the quadratic equation (1 + a) x2 + 2x + 1-A = 0 about X has two integer solutions
2 after X is quadratic


(x + 1) ^ 2 + ax ^ 2-A = 0 a = x + 1 / 1-x a = - 1-2 / X-1 because x is an integer, Amax = 1 Amin = - 3



Each of the three cups contains some water. The amount of water in cup a is equal to the average amount of water in cup a and C. If 15 ml of water is added to cup C, then


The amount of water in cup a is equal to the average amount of water in cup a and C. that is, a = (a + C) / 2
If 15 ml water is added to cup C, the amount of water in cup a is 15 ml less than that in cup C



Let a be a matrix of order n and B be a non-zero matrix of order n. if every column vector of B is the solution of a system of homogeneous linear equations AX = 0, then | a | is equal to?


B is a nonzero matrix of order n, if every column vector of B is the solution of a homogeneous linear system AX = 0
It shows that the homogeneous linear equation AX = 0 has non-zero solution, so its coefficient determinant | a | = 0
When the number of equations is equal to the number of unknowns, the necessary and sufficient condition for the system to have nonzero solutions is that the coefficient determinant is equal to 0



A worker processes 36 parts in 4 hours, B worker processes 56 same parts in 7 hours. How many hours does it take for two workers to process 170 parts at the same time? How many parts do they process when they finish the task


According to the meaning of the question, it takes x hours for worker a to process 36 △ 4 = 9 per hour and worker B to process 56 △ 7 = 8 per hour