Unit conversion - math word problems - page 41 of 134

Number of problems found: 2678

Lawn roller
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn?
Cylinder radius
Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm.
Fabric package
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package.
Perimeter of the park
Find the park's perimeter in meters in a diamond shape if the length of its side is 2 km.
Vehicle acceleration
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64 km/h and also states how long it takes for the vehicle to travel every one meter.
Crane lifting time
The crane motor has a constant power of 9 kW. With constant movement, how long does it take to lift a body weighing 12 tons to a height of 9 m?
Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²?
Pool plan marking
The pool is 50 m long and 20 m wide. How will it be marked on the plan on a scale of 1:200?
Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm?
Gallons and quarts
5 gallons 2 quarts − 1 gallon 3 quarts = (Hint: 4 quarts equals 1 gallon. )
Sandpit sand
A sandpit on a playground is shaped like a circle with a diameter of 3 meters and a depth of 25 cm. How many cubic meters of sand are needed? Determine the weight of the transported sand if 1 m³ of sand weighs 800 kg.
Map line
On a map at a scale of 1:250,000, the line shows a distance of 15 km. How many cm does this line measure on the map?
The roof
The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste.
The square
The square oak board (with density ρ = 700 kg/m³) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
Angle of inclination
What percentage of the gradient should be indicated on the mark if the angle of inclination of the road is 6°25'?
Water height
The water tank has the shape of a block. The bottom of the tank is square, with a side length of 3 m. There are 22,500 liters of water in the tank. To what height in meters does the water in the tank reach the specified amount?
Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal.
The granite ball
What is the weight of a granite ball with a radius of 60 cm if 1 m³ of granite weighs 2.7 tons?
Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?
Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base.

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