Volume + system of equations - practice problems - page 4 of 6
Number of problems found: 101
- Temperature 6373
How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C? - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Kilograms 5998
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr
- 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? - 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? - 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.) - 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?
- Expensive 4478
Five liters of white wine and 6 liters of red wine were for 432 CZK. 1 liter of red wine is CZK 6 more expensive than 1 liter of white wine. How much do we pay for 1 liter of white and 1 liter of red wine? - Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made? - Originally 4292
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Gasoline canisters
Thirty-five liters of gasoline is to be divided into four canisters so that the third canister will have 5 liters less than the first canister, the fourth canister 10 liters more than the third canister, and the second canister half of that in the first c - CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains.
- One-sixth 3227
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can? - Three-hectolitre 3136
Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there? - Liters 3107
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C. - Concentration 3097
How many liters of 60% and 80% formic acid do we have to mix to get 80 liters of this acid with a concentration of 65%? - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture?
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