Physical quantities - math word problems - page 212 of 296
Number of problems found: 5915
- Dimensions of glass
An aquarium has dimensions of 64 × 50 × 45 cm and is filled to 5 cm below the upper edge. How many liters of water are in an aquarium? How many square meters of glass are needed to produce an aquarium? - Mass
The thickness of a metallic tube is 1 cm, and its outer radius is 11 cm. Find the mass of such a 1 m long tube if the metal density is 7.5 g per cubic cm. - Water pressure depth
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Stadium map area
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2 cm x 3 cm. - Lake map area
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake. - Children's room
The children's room is a square with a side of 3 m. What is the area of the room layout on a 1:50 scale plan? - Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch. - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Honeycomb capacity
The honeycomb comprises cells with the shape of a regular 6-sided prism with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. How many liters of honey are there in the entire comb if the plastic comprises - Paint needed
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Segments 6
Express the ratio of 1 cm to 1 m. - Collinear vector coordinate
Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0) - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Chocolate - comparing
Robert has 8.2 cm, 3.1 cm, and 0.8 cm long chocolate. Norbert has 0.4 cm, 5 cm and 7.9 cm chocolate. Which one has more chocolate, and how much? - Building shadow length
How long a shadow does a 15 m high building cast if a 1-metre-long vertical rod casts a shadow of 90 cm at the same time? Include a sketch showing the similarity. - The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney. - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest whole number. - Sauna wood paneling
In the basement, they have a cube-shaped room with an edge length of 2.5 m, which has no windows, only a door with dimensions of 2*1 m. They decided to make a Finnish sauna in it. How many square meters of wood paneling will they need?
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