Physical quantities - math word problems - page 212 of 298
Number of problems found: 5952
- Weight of Gold Pyramid
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting? - Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - Water level How high is the water in the swimming pool with dimensions of 37 m in length and 15 m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?
- Cardboard box
The computer monitor's cardboard box has 75 cm, 12 cm, and 5 dm. How many square cents of the carton are needed to make this box? Add 18 dm² to the folds. - Iron pole
What is the mass of a pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm made from iron with density ρ = 7800 kg/m³? - Embankment volume
A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build - Tank filling time
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour? - Cabinet painting
The cabinet for storing garden tools is shaped like a cube with an edge length of 2 m. How many m² of paint will we need to paint this cabinet if we paint everything except the bottom base? How much will it cost to paint a cabinet if one can of paint for - Pool tiles
How many m² tiles do we need to line the walls and bottom of the pool in the shape of a block 25 m long, 10 m wide, and 180 cm deep? - Pool painting
We will paint a block-shaped pool with 25 m and 15 m bottom dimensions and a depth of 3.5 m. How much € will we pay for painting if we paint twice? One kilogram of paint is enough for 5 m² of paint; we will pay €3.5 for 1 kg of paint, and we have to pay t - Identical cubes
What is the volume of a large cube composed of 27 identical small cubes with an edge length of 3 cm? - Cube edge meter How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
- Cube edge creation
From how many cubes with a 4 cm edge can a cube with a 16 cm edge be created? - Insulation
A special rubber pipe insulator is used to insulate the supply pipes of solar collectors. The product with the description DNa20, thickness 25 mm, 2 m corresponds to insulation for pipes with a diameter of 20 mm and a rubber layer thickness of 25 mm, sold - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Driver
The driver of the supply car reckoned that at the average speed of 72 km/h arrived at the warehouse for 1 1/4 hours. After 30 km, however, he unintentionally drove to the gas station and had ten minutes delay. At what average speed would you have to go th - Meeting of two airplanes
Two airplanes took off simultaneously from two airports 500 km apart, flying toward each other. One flies at a speed of 480 km/h, the other at 720 km/h. How long after takeoff will they meet and what distance will the first airplane fly? a) If there is no - Shadow
A 1-metre pole standing vertically on level ground casts a shadow 40 cm long. A nearby house casts a shadow 6 metres long at the same time. What is the height of the house? - 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
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