Unit conversion - math word problems - page 47 of 134

Number of problems found: 2678

Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3 dm, b = 40 cm, c = 0.5 m b) a = 8 dm, b = 1.2 m, c = 6 dm
Fly travel time
The fly flies at a speed of 8 km/h. How many minutes will it fly from one place to another, which is 1600 m away?
Hydraulic jack force
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
Hydraulic press force
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
Ditch soil
How much soil is needed to dig a 200 m long ditch, the cross-section of which is a square with an area of 4812.5 cm²
The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons?
Cellar pump drainage
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water?
Light year
A light-year is a unit of length that expresses the distance light travels in one year. What distance will it travel if the speed of light is approximately 300,000 km/s?
Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70 °C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8 V.
Current in the conductor
Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm).
Quarter of an hour
If the clock showed a quarter of an hour more, it would be 10 minutes to 10 hours. How many hours do they show?
RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material.
Map distance
On a map with a scale of 1:250000, the distance between the two mountain peaks is 32 mm. What is the actual length in km?
Alarm clock
Peter has an inaccurate alarm clock. He found that he was exactly 4 minutes late every hour. At 21:30 in the evening, he will set the exact time for it. What must alarm time be on him to wake him up at exactly 06:30?
Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does it take for a pump to fill a cube-shaped tank up to 75% of its height?
Wooden cube
Find the weight of a wooden cube with an edge of 3.5 dm if the wood's density is 0.7 g/cm³.
Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created?
Compressive force
The excavator's area of belts is 5 m², and it creates a pressure of 40 kPa. How much compressive force does the excavator exert on the road?

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