Equation + volume - practice problems - page 9 of 13
Number of problems found: 243
- Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. How many liters of orange did he mix if he used 8 liters of red? - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used? - Filled 5265
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank?
- The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm and it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kg weighs a full and how much empty barrel? - Hollow sphere
The hollow ball's volume is 3432 cm³. What is its internal radius when the wall thickness is 3 cm?
- Expensive 5040
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Oil tank and pipes
Two oil pipelines can fill the underground oil tank. The first is filled in 72 hours, and the second in 48 hours. How many hours from when the first pipeline began to fill the oil is necessary to start filling it with the second to fill in 1 and 1/2 days? - Five-sevenths 4789
Forty-two liters of water fill the barrel to two-thirds of its volume. How many liters of water do we need to add if it is filled to five-sevenths of a volume? - Calculate 4784
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Syringe and patient
In 1 ampoule of 2 ml is 15 mg of Dipidol. The patient should receive 10 mg. How much ml do I draw into the syringe?
- Content 4774
There is 50 mg of Dolsin in 1 ampoule with a content of 1 ml. The patient should receive 70mg. How many ml will I draw from the second ampoule into the syringe? - Calculated 4765
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23dm - Vehicle tank
A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added, it was 5/6 full. How many liters of petrol can the tank hold? - Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm². - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
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