Physical quantities - math word problems - page 272 of 296
Number of problems found: 5915
- Inflow - outflow
The tank will fill by inflow for 56 minutes and empties by outflow for 77 minutes. How long does it take to fill the tank if it is open to inflow and outflow? - Machine defect probability
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - Painting
To paint the pool with dimensions: 2 meters depth, 3 m x 4 m we bought paint to 50 meters square. How much "paint" will be wasted? - Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism. - Calculate
Calculate the resulting speed of both vehicles after the collision of a car with a mass of m₁ = 1.5 tonnes travelling at 100 km/h and a truck with a mass of m₂ = 40 tonnes travelling at 90 km/h, if it is a head-on collision. Calculate the overload acting - Tetrahedron water level
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Wood cuboid
What is the mass of a wooden cuboid measuring 15 cm × 20 cm × 3 m, if 1 m³ of this wood weighs 800 kg? - Drain Holes Reduction
I will drain the whole tub in 4 minutes. How long would it take to drain it if I added two more drain holes? - Trip average speed
Dad drove a business trip to a place 348 km away. He arrived at the scene after four hours. What was the average speed? - Accelerated motion
The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration. - Cone sphere volume
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere? - Pizza
Pizza with a diameter of 40 cm weights 409 g. What diameter will a pizza weigh 764 g made from the same cloth (same thickness) and decorated? - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in the ratio 6:5. Calculate the height and radius of the cylinder base. - Cube painting
Entrepreneur Kostkoš wanted to produce colorful blocks for schools. But he gave them to another businessman to paint, who asked €1,117.2 for painting 1,000 cubes. The area that needs to be painted on one cube is 294 square centimeters. Please write how ma - Map 2
At what scale is a map made if the distance 1.3 km corresponds to the map segment 4 cm long? - Copper wire
What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm³? - Average temperature
The following temperatures were measured every 6 hours from 6 to 24 hours: -2.2 C, 2.1 C, 5.4 C, 3.9 C, 0.7 C, -1.9 C, -3.8 C. Calculate the average temperature from 6 to 24 hours. - Largest wall
Find the area of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Cylinder material waste
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Right circular cone
The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone.
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