Unit conversion - math word problems - page 10 of 134

Number of problems found: 2678

Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. How long is the route between the cities?
Aluminum - density
The density of aluminium is 2,700 kg/m³. Calculate the mass of an aluminium cube with a volume of 80 cm³.
Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed.
Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box.
Height from Impact Velocity
From what height did a body weighing 9.8 kg fall if it hit the surface at a speed of 100 km/h?
Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need?
Minutes in Fractional Hour
How many minutes is five sixths of half an hour?
Acceleration - gravity
What is the gravitational acceleration if a body with a mass of 5.8 kg fell from 68 metres and hit the ground at a speed of 60 km/h?
Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread.
Chord 24
A chord of length t = r√2 divides a circle with radius r into two circular segments. What is the ratio of the areas of these two segments?
Minutes in Percentage
How many minutes is 45% of four hours?
DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m × 20 cm × 20 cm, if its mass is 84 kg?
Bottom diameter
Milo poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level reach in the glass?
Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3.
Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
Kilogram chleba
We need 750 g of flour for one kilogram of bread. How much flour do we need for 20 loaves weighing 1200 g?
Turbine
A turbine in a small hydroelectric power plant requires a minimum supply of 9600 liters of water every second to function. A supply channel with a rectangular cross-section leads to the power plant, in which water flows at a speed of 10 m/s. The width of
Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum
Right Triangle Side Calculation
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.

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