Physical quantity - math word problems - page 323 of 344
Number of problems found: 6862
- Compressive 6327
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm? - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Air mass
What is the weight of the air in a classroom with dimensions 10 m × 3 m × 3 m? The air density is 1.293 kg/m³. - Track arc
Two straight tracks are at an angle 126°. They will join with a circular arc with a radius r=1110 m. How long will the arc be connecting these lines (L)? How far is the arc's center point from track crossings (x)? - The temperature 14
The temperature is 12°C lower than 4 hours ago. a. What is the average temperature change per hour? b. Write an integer equation for the situation. - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - Cylinder - h2
The cylinder volume is 3 liters. The base area is 1.1 dm². Calculate the height of the cylinder. - Tourist 39691
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°? - Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water? - In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm? - Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km? - Iron density
Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water? - Average speed
What is the average speed you have to move around the world in 80 days? (Path along the equator, round to km/h). - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Three-sided prism
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L
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