Unit conversion - practice problems - page 9 of 134
Number of problems found: 2678
- Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Fuel and oil ratio 2T
4 litres of gasoline are to be mixed with oil in a ratio of 33:1. How much oil is needed? - Boxes
Petra has planted flowers in two boxes in the shape of a cube. The first box has an internal dimension of 70 cm and the second 5 dm. She wants to make one box in the shape of a cuboid, into which she could transplant both flowers from these boxes. The new - Graduation of the track
The gradient of the track is 9 per mille, and the distance along the slope [AC] is 560 m. Determine angle alpha and the distance [AB], which is the height between A and B. A / | B/____________C - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h over a 54-metre-long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Heating water
5 kg of water warmed up by 10 °C. How much heat did the water absorb? (Remember that 1 kg of water requires 4,200 J of heat to raise its temperature by 1 °C.) - Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm³. Calculate how many cubes with a volume of 1 cm³ this cuboid can be cut into without a remainder. - Maturitný - RR - base
In an isosceles triangle ABC with base AB, ∠BAC = 20° and AB = 4. The angle bisector from vertex B intersects side AC at point P. Calculate the length of segment AP. Give the result to two decimal places. - Air 2
The air distance between New York and Los Angeles is 3,962 km. How many km does 1 cm on a map represent if the map scale is 1:1,000,000? - Segments on the hypotenuse
A right triangle ABC has a hypotenuse c = 26 cm. The altitude from C to the hypotenuse is h_c = 12 cm. What are the lengths of the two segments of the hypotenuse? What are the lengths of sides a and b? What are the angles at vertices A and B? - In trapezoid 3
In trapezoid ABCD, the following elements are given: lengths of the parallel sides a = 20 cm and c = 11 cm, angle α = 63°36', and angle β = 79°36'. Calculate the lengths of the other two sides and the sizes of the remaining angles. - Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Acceleration - free fall
How long will it take for a car to reach a speed of 180 km/h with an acceleration of 10 m/s²? - In a right-angled 17
In right triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of side e? - Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α? - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - Tractor 17
A tractor's average speed was 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth through sixth minutes. What distance did it cover during the first six minutes of driving? Determine the tractor's - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Strawberry - mililiters
The volume of a strawberry smoothie is 1,250 ml. Convert this to litres and express it as a fraction. - Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete
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