# Percentages + volume - math problems

#### Number of problems found: 99

• Alcohol How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liters of 40% alcohol?
• Solution What amount of 80% solution and what amount of water is needed to mix in order to obtain two liters of 60% solution of this mixture?
• Disinfecting solution How much distilled water is necessary to pour into 500 ml of 33% hydrogen peroxide solution to obtain 3% disinfecting solution?
• Reduce of the volume Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.
• Lathe Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.
• Bricks Openings in perforated bricks occupy 10% and brick has dimensions 30 cm, 15 cm and 7.5 cm. Calculate a) the weight of a perforated bricks, if you know that the density of the full brick material is p = 1800 kg/m3 (1.8 kg/dm3) b) the number of perforated
• Container with water The weight of a container with water is 2.48 kg. If the cast 75% water, the container with water has a weight of 0.98 kg. Determine the weight of the empty container. How much water was originally in the container?
• Water tank 2 Water tank cuboid is 12 meters long and 6.5 meters wide and 1.2 meters high. How many hectoliters are in the tank when it is filled to 81%?
• Water container Container with water weighs 1.48 kg. When we cast 75% of water container of water weight 0.73 kg. How heavy is an empty container?
• Barrel 3 Barrel with water weights 118 kg. When we get off 75% of water, it weights 35 kg. How many kg has an empty barrel?
• Solutions How much 60% solution and how much 35% solution is needed to create 100 l of 40% solution?
• Wood Wood contains 12% water. 1 m3 of wood weighs 650 kg. How many liters of water it contains?
• Barrel The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of its capacity. What is the volume of a barrel, if the volume of the bucket is 12 liters?
• Carpenter From a wooden block carpenter cut off a small cuboid block with half the edge length. How many percent of wood did he cut off?
• Prism The base of the prism is a rhombus with a side 30 cm and a height 27 cm long. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism.
• Icerink Rectangular rink with dimensions of 68.7 m and 561 dm must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for the formation of ice when the volume of ice is 9.7% greater than the volume of water.
• Balls Ping pong balls have a diameter of approximately 5.1 cm. It sold in boxes of 10 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls.
• Tanks The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fallen 5 cm? W
• Pharmacy At the pharmacy are in one container 20% solution in the second 50% solution of disinfectant. They need to prepare 4 L of 48-percent solution. What amount of solution from each container is needed to mix?
• Fertilizer Mr. Gherkin use for fertilization 7% solution of fertilizer. 17 liters of it still left. How much water must be added to the solution to make only 3% solution?

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