Physical quantity - math word problems - page 280 of 342
Number of problems found: 6824
- The output
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Transformation ratio k = 4. Find the voltage to which the primary coil is connected. How many turns does the primary coil have if a current of 1 A flows through it? What cu
- Helicopter 6287
On the map, at a scale of 1:1100000, the aerial distance between Martin and Brezno measures 5.5 cm. Calculate the aerial distance covered by the helicopter when it flies from Martin to Brezno and back.
- Tributaries 3458
At the swimming pool, they usually use three tributaries with the same power to fill the pool. Then the pool will fill in 5 hours. How many hours less would it take to fill the pool if they added 2 more inlets with the same capacity?
- Construction 2798
The truck driver drives bricks for construction. If he went three times a day, he would produce the bricks needed for construction in 12 days. How many times a day does he have to go to finish work three days earlier?
- Throughout 82075
In the metro, trains run in one direction at the same speed and the same intervals. Yesterday, there were 24 trains throughout the day. More trains will run today, as the time interval between trains will be shorter by 20%. How many more trains will there
- Motor efficiency
Calculate the power input of a motor operating at an efficiency of 58% that will lift an elevator car (weighing 390 kg) with twenty boxes (each 25 kg) to a height of 85 m in 29 seconds.
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm.
- Calculate - sphere
Calculate the surface and volume of the sphere if its radius r = 5 cm.
- The MRT train
The MRT running from Taft to North Avenue has a starting velocity of 60km/hr. After a malfunction, the brakes failed, making the train run at a velocity of 80km/hr. What is the acceleration rate if the time for velocity change is 5 seconds?
- Deposit withdrawal
Paul deposited 1,750 euros in the bank at an interest rate of 2.60 percent. He wants to withdraw the money after 9 months. A) How much would he earn in interest? (withdrawal is free of charge.) B) How much will he receive if the interest is taxed at 19%?
- Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare?
- Height of a cube
What is the volume of a cube if the height is 5cm?
- Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter?
- Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.
- Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similarity)
- 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm.
- Playground 5570
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers?
- Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume?
- Connections 6133
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning.
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