Physical quantities - math word problems - page 223 of 298
Number of problems found: 5952
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - 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 = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm. - Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters? - Aquarium
An aquarium is a rectangular cuboid with a square base. It contains 62 litres of water and the base edge is 34 cm long. To what height does the water level rise? - Beautiful garden
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l? - Cylinder and Cuboid Volume
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - The pipe
The pipe is 1.5 m long. Its outer diameter is 60 cm, inner diameter is 52 cm. Calculate the pipe's weight if the material's density from which it is made is 2 g/cm³. Please round the results to whole kilograms. - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long. - Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° around its centerpiece, it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view - Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm. - The MRT train
The MRT running from Taft to North Avenue has a starting velocity of 60 km/hr. After a malfunction, the brakes failed, making the train run at a velocity of 80 km/hr. What is the acceleration rate if the time for velocity change is 5 seconds? - Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr - Invoice arrears interest
Mrs. Zdena took over the goods that were ordered, which were 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. - Dog II
The journey from a ranger's home to the town is 12 km. Mr. Ranger started from his home and went 6 km per hour. His women came from the town and also went 6 km per hour. The ranger starts the dog and runs in 9 km in 1 hour. The dog goes to the ranger's wo - Similarity coefficient
Given triangle ABC with sides a = 12 cm, b = 9 cm, c = 7 cm, and triangle DEF with sides d = 8.4 cm, e = 6.3 cm, f = 4.9 cm. Determine whether triangles ABC and DEF are similar. If so, state the similarity ratio and the theorem by which they are similar. - Tree shadow length
How long is the shadow of a tree 7.6 m high, and the shadow of a 190 cm high road sign is 3.3 m long? - Shadows At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow?
- Chimney shadow height
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45 m long shadow. Determine the height of the chimney. - Clock quadrilateral angle
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial.
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