Volume + direct relationship - math problems
Number of problems found: 35
- Cube
One cube has edge increased 5 times. How many times will larger its surface area and volume?
- A filter
It is a pool with a volume of 3500 liters. The filter filters at 4m cubic per hour. How many minutes would it filter the entire pool?
- Cylinder - h2
Cylinder volume is 2.6 liters. Base area is 1.3 dm2. Calculate the height of the cylinder.
- Cone
Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane, if solids have the same volume.
- One deci
Wine 0,375 l costs 2040 CZK. How much does 1 dl cost?
- Ratio of edges
The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio 2: 3: 5. The smallest wall have area 54 cm2. Calculate the surface area and volume of this cuboid.
- Gas consumption
The vessel consume 100 tons of gas in 250 miles. How many fuel will the vessel consume if it travels 400 miles?
- Prism bases
Volume perpendicular quadrilateral prism is 360 cm3. The edges of the base and height of the prism are in the ratio 5:4:2 Determine the area of the base and walls of the prism.
- Pump
680 liters of water were pumped in 8 minutes. How many liters was spent in 56 minutes?
- A bucket
A bucket has 4 liters of water in it when it is 2/5 full. How much can it hold?
- Comsumption
On route 150 km long car consumed 11 liters of gasoline. How much gasoline consumed for driving 300 km?
- Cooling liquid
Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with 2 volumes of water). How many volumes of coolant must be prepared for a total 0.7 dm3 (liters) of the mixture?
- Pumps 5
5 pump pumped in 3 hours 1800 hl of water. How many hectoliters of water pumped 4 equally powerful pumps in 6 hours?
- A sculptor
A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller)
- Milk2cheese
From 40 liters of milk is produced 8 kg of cheese how many liters of milk are needed to produce 2 kg of cheese?
- Pumps 3
Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would have to use if we want to shorten the filling of the pool to four hours?
- Car consumption
The car has consumption 4 l/100 km. How much money will it cost ride 4 km in long if diesel price is 1.53 USD/l?
- Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
- Car range
Calculate the maximum range of car, if you can spend 10 euros, price of diesel is 1.55 Eur/l and car consumption is 3 l/100 km.
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