Grade - math word problems - page 117 of 944
Number of problems found: 18874
- Hollow block
A hollow block is a prism with dimensions a = b = 29 cm, v = 15 cm. The wall thickness is 4.5 cm. What percent of the volume of the block in masonry is its cavity?
- Skiing trip
Ski equipment costs 4560 Czech crowns (CZK or CZK) in the summer, but at the beginning of the ski season, it increases to 10032 CZK. By what percent are they more expensive?
- Vertical movement
Find the length of the vertical path you must travel to lift a weight with a force of 0.01 N to do 1 J of work.
- The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7
- Aluminum - density
The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm3!
- Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed.
- Clothing
Winter clothing was first sold with a 20% discount in the spring, and then the new price was reduced by another 25%. What was the original price of a winter jacket if it was sold after a double discount for 1,050 CZK?
- Sifted sand
At a construction site, the sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse sand falls through. Determine how many cubic meters must be brought in to obtain two cubic meters of sifted sand.
- Balls 6
Jane has balls in her bag that could be divided fairly between 4, 5, or 6 children. How many balls at least does Jane have in her bag?
- Aluminum ignote
At what temperature did the temperature stabilize if an aluminum ignote weighing 45 kg and at a temperature of 15°C received 4.8 MJ of heat? The specific heat capacity of aluminum is 896 J/kg°C.
- Paving 2
It will take a construction company 8 working days to pave the sidewalks on two streets in a city if all 6 pavers work. However, only 4 pavers can complete the job because the other two have been dismissed. How many working days will it take the group of
- Shadow - an observation tower
How tall is the observation tower if it casts a shadow 9.6 m long at exactly the same moment that a half-meter pole casts a shadow 30 cm long?
- Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, which took 3 hours 36 min. At what speeds did the tourist travel the individual sections of the road if he rode 1.4 times faster on the asphalt road than on the dirt road?
- Goods 83898
How much did the goods cost if 2/3 of them cost 450 euros?
- Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that, when heated to 39 degrees Celsius, absorbed 3.5 kJ of heat? The specific heat capacity of iron is 450 J/kg/°C.
- Calorimetric equation
A 200g aluminum cylinder at 180°C was dropped into 3kg water at 25°C. At what temperature did the resulting temperature stabilize? The specific capacity of water is 4200 J/kg °C, aluminum 896 J/kg °C,
- Specific heat
How much heat must we add to turn 25 kg of ice at a temperature of -15 degrees Celsius into water with a temperature of 23 degrees? Specific heat of fusion 333 kJ/kg.
- By mass
How much heat must we supply to completely convert potassium weighing 45 kg at a temperature of 22.4 °C into potassium at a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C. The specific heat capacity of potas
- Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box.
- Elevator efficiency
To what height will an elevator motor with a power of 25 kW and an efficiency of 48.6% transport a cabin weighing 445 kg with seven people (the average weight of one person is 64 kg) if it takes 54 seconds?
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