Physical quantity - math word problems - page 229 of 347

Number of problems found: 6933

Distance Under Acceleration
What distance will a car travel with an acceleration of 10m/s² in 5 seconds?
Two pendulums
In 24 s, the first pendulum performed 12 oscillations and the second 16 oscillations. Determine the periods and frequencies of both pendulums.
Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes.
Pool pit dredging
The pit for the pool will be 30 meters long, 15 meters wide, and 2 meters deep. How many cubic meters of clay need to be dredged?
Tank filling height
62.8 hl of water per hour flows through the pipe into an empty cylindrical tank with a bottom diameter of 8 m. In 4 hours, the tank will be filled to what height?
Sphere aquarium volume
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim.
Pool filling time
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second?
Tank oil calculation
The tank is shaped like a block measuring 80 cm, 30 cm, and 20 cm. The oil level is 6 cm below the edge. Find the amount of oil in the tank in liters.
Filling a Swimming Pool
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute.
Truck load capacity
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg?
Storing Cubes in Boxes
Eric cleans up after playing with a cube-shaped cube with an edge of 14 cm. He cleans them into three boxes. How many cubes can fit in: 1) cuboid with edges 4.2 dm, 5.6 dm, and 7dm? 2) a cube with an edge of 560 mm? 3) cuboid with edges 0.98m, 2.8 dm, and
Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N?
Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
The publisher
The publisher prepares the release of the dictionary. No matter the number of printed copies, preparation costs are 150000 CZK. The printer charges 80 CZK for one print. A) What are the costs of one dictionary if 5000 copies are printed? B) For what numbe
Plasticine ball
Plasticine balls have a radius r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are molded
DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg?
An architect
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water.
Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions of 40m X 30m. What is the increase in the level of the plot?
Temperature change scenarios
In the morning, they measured the temperature at 5.7 degrees Celsius. What will the temperature be when: A) warms by 6.3 degrees Celsius B) cools by 0.9 degrees Celsius C) cools down by 9 degrees Celsius and immediately warms up by 18.8 degrees Celsius D)

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