Physical quantity - math word problems - page 252 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: 6374
- The trench
Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m. - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm. - Hexagonal pyramid
Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid. - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle, if its sides are a=3cm, b=4cm, c=5cm and the height of the prism is v=12cm.
- Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Dimensions 80782
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2cm x 3cm. - Determine 79204
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake. - Compressive 34391
The excavator has an area of belts 5 m2, and a pressure of 40 kPa is created. How much compressive force does the excavator exert on the road? - Steering 8186
What force does the driver exert when turning on the steering wheel if the steering wheel diameter is 35 cm and the torque is 3.5 N. M?
- Cross-section 81879
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - Trapezoidal 24731
Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume. - 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? - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
- Block-shaped 13521
A block-shaped aquarium with dimensions of 82 cm, 30 cm, at 7.6 cm is filled with 70% water. How many liters of water is in it? What height does the water reach? From what% of the sidewall area is wetting? - Embankment 56451
Twenty men will build a dam in 36 days if they work 10 hours daily. How many hours a day do 30 men have to work if the embankment is to be completed in 16 days? - Manganese
Manganese bronze contains the following metals per pound: copper 0.89 lb, tin 0.10 lb, and manganese 0.01 lb. How much copper is in a shaft that weighs 235 pounds? - Mr. Ben
Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he go every day to be done two days earlier? - Electric energy
There are 875 identical light bulbs in the sports hall lighting for 2 hours. How long does the same amount of electricity consume 100 such bulbs?
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