The volume of a cube is 64 cubic centimeters. If you divide it into eight small cubes with the same size, find the surface area of each small cube!
A factory requires to process a batch of 60 tons of materials within 10 days. If roughed into semi-finished products, it can process 12 tons per day, and the net profit per ton can reach 5600 yuan. If it is completed, it can process 4 tons every day, and each ton can get a net profit of 8600 yuan; These two treatment methods cannot be carried out at the same time. How to arrange production and get the maximum net profit? What is the maximum profit?
The calculation method of taxes and fees of a water supply company in a city is as follows: if the fee is 1.5 yuan per cubic meter; If the monthly water consumption of each household exceeds 5 cubic meters, a higher fixed fee will be charged per cubic meter for the excess. In January, Zhang's water consumption was 2/3 of Li's, Zhang's water consumption in that month was 17.5 yuan, and Li's water consumption in that month was 27.5 yuan. What is the charge per cubic meter for the part exceeding 5 cubic meters?
It is necessary to lay the sidewalk of the landscape road with colored bricks within a specified number of days. If it is laid by project A, it will take the specified number of days to complete the task, and if it is laid by project B alone, it will exceed the specified number of days by 6 days. At present, 1/3 is paved by the second engineering team alone, which takes half of the specified time. If the two teams play together for 8 days, can they finish the task?
A factory can order 25 tons of raw material A or 20 tons of raw material B with a sum of money. Now it uses this money to buy raw materials for this improved variety, of which B bought 2 tons more than A. How many tons did you buy for each of those two raw materials?
It takes three hours for a ship to sail between A and B. It takes 30 minutes to go upstream. As we all know, the speed of a ship in still water is 26 kilometers per hour. Find the speed of water flow.
Party A and Party B went to a grain store twice to buy rice, but the price of rice changed twice. These two people buy in different ways. Among them, A buys 25 kilograms each time, and B takes it to 25 yuan each time. If it is stipulated that whoever buys rice twice has a low average price, then the way to buy rice is cost-effective. Please judge which way to buy rice is more cost-effective. And explain why.
Several students live in several dormitories. If there are 4 students in each dormitory, then 20 students have no dormitory. If there are 8 people in each room, then a dormitory is not empty and dissatisfied. Ask for the number of students, the number of dormitory.
Spark learning shop plans to invest 9000 yuan to buy 50 repeaters from manufacturers. Known manufacturers produce three different types of repeaters, and the ex-factory price is: A type machine each 150 yuan, B type machine each 2 10 yuan, and C type machine each 250 yuan. If the mall sells a model A machine, it will make a profit 15 yuan, and if it sells a model B machine, it will make a profit. 25 yuan can make a profit by selling a C-type computer. In order to meet the diverse requirements of students, the shopping mall decided to purchase three different types of students' repeater at the same time according to the investment and procurement plan. Please design a purchase plan to make the store get the maximum profit when selling.