Physical quantity - math word problems - page 241 of 319
A physical quantity is a term numerically describing a property or state of a physical object. For example, a physical quantity is a length, and its corresponding physical unit is a meter (symbol m). Similarly, the quantity is weight, and the unit is the kilogram (kg). Physical quantities can be divided into a scalar (has magnitude), vector (has magnitude and direction), and tensor (has magnitude and multiple directions).Number of problems found: 6372
- Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long. - Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house? - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 22, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long?
- Length 25661
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)? - Cross-section 8171
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Calculate 8039
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black. - Kilograms 7828
The gas tank has the shape of a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? How many kilograms of paint are needed to paint a gas tank if 1 kg of paint is enough to paint about 6 square meters? - Horsepower 81496
The electric motor has an efficiency of 80% (power and input ratio). What is the power input of this motor if its power is 5 horsepower (HP)? Enter the result in kilowatts (kW) and round to one decimal place (1 HP = 3/4 kW).
- Interest 65474
Uncle Vendelín paid 350 euros for a new washing machine, which he had to borrow 40 percent. He paid off the loan for one year - 15 euros per month. How much did he pay in interest? What was the interest rate on loan? - Veronika 30553
Veronika, who worked in the store, put products from boxes onto shelves. She emptied 35 boxes every quarter of an hour. She thus emptied all the boxes in a tenth of her six-hour work shift. Only then did she devote herself to other work. How many boxes di - Calculate 30461
Mrs. Zdena took over the ordered goods worth 5000 €. She did not pay the invoice by the required date of 31.5.2019. Interest on arrears is 5.5% per annum. Calculate the payment as of 31.8.2019. - Increased 2870
Mathias had a certain amount of money in the winning book. He won, and his stake increased by 100%. Mathias used half the money for a trip and donated what he won to his brother Jakub. How much is left in his passbook? - Measuring 4431
How many apples will fit in a box measuring 20 cm × 50 cm × 25 cm?
- Cubes
How many cubes with an edge length of 5 cm may fit in the cube with an inner edge of 0.4 m maximally? - Peripheral 82517
Calculate the peripheral speed of the number on the Wheel of Fortune if the wheel rotates within a period of 0.25 seconds and the number is written 1.5 m from the center of the wheel. - Hydraulic 36041
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? - Shadow 7838
A man 1.65 m tall casts a shadow of 1.25 m. How tall is the tree whose shadow is in debt 2.58 m? - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality?
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