Unit conversion - practice problems - page 7 of 134
Number of problems found: 2678
- Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm. - Calculate 423
Calculate the volume and surface area of a cylinder with a height of 40 dm and a base diameter of 3 m. - A fraction of an hour
Calculate in minutes: 2/3 of 5 hours. - How big is 4
How large is the angle in a right triangle if one leg is 20 m and the other leg is 1.5 m? - From a full
From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop? - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles. - Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed? - Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.) - In a regular 5
In a regular triangular prism ABCV, the angle between the lateral face and the base plane is α = 45°. Determine the angle between the lateral edge and the base plane. - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - The tower
From a window 8 m above the horizontal plane, the top of a tower can be seen at an elevation angle of 53°20′, and its base at a depression angle of 14°15′. How high is the tower? - Volume of gasoline
There is 1,200 kg of gasoline in a tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of the gasoline. - On a mass
Forces F₁ and F₂, each with a magnitude of 40 N, act on a mass point M. Their resultant has a magnitude of 60 N. Determine the angle between forces F₁ and F₂. - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - Map - route
A map has a scale of 1:40,000. How many centimetres will a route of 4.8 km be shown as on the map? - In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium. - Saleswoman 3
A saleswoman cut 650 cm from a piece of batten that was 30 metres and 60 cm long. How much of the batten did she have left? - Oval running
Jan runs around a circle with a diameter of 24 m. How many kilometres will he run if he goes around the circle four times?
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