Unit conversion - math word problems - page 31 of 134

Number of problems found: 2678

Cross-section of a roof
The owner must cover the carport with a hipped roof with a rectangular cross-section of 8 m x 5 m. All roof surfaces have the same slope of 30°. Determine the price and weight of the roof if 1 m² cost €270 and weighs 43 kg.
Body collision momentum
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change
Street lamp ladder
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom?
Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model.
City edge distance
In one city, the distance between two adjacent city edges on a map with a scale of 1:500000 measures 48 mm. What is the actual distance between these city outskirts in kilometers?
Library
They packed books in the library. They used 45 cm of wrapping paper per book. Wrapping papers are sold in rolls of 3 meters. How many such roles do they need to wrap 20 books?
Exchange office
We get € 1.2 for one pound in the exchange office. For 1 € we get 4 Polish zlotys. Michael found 300 zlotys at home and wanted to turn them into pounds. How many pounds will he get for them?
Seedling flowerbed fence
We need 25 dm² of soil for each seedling, we planted 30 seedlings on a square-shaped bed, and there is another 1.5 m² of free soil for the spacing between them. How much mesh do we need to buy to fence the flowerbed?
Wheel turn count
The wheel circumference of the truck is 2 meters. The car covered a distance of 20 km. How many times did the wheel have to turn?
Parallelogram - area
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100°. What is its area?
Plan road scale
A 3.5 cm-long line shows the 350 m-long road on the plan. What is the project's scale?
The crane
The construction crane has a 20 m long arm. What construction area in ares can it handle from this crane if it rotates around its axis?
Determine 5
Using the formula V=lwh, determine the volume of an aquarium with these measurements: length = 78 cm, width = 6 cm, and height = 43 cm.
Truck rail pressure
How much pressure on the rails will cause an empty truck weighing 20 tons if the contact area of all wheels and rails is 16 square centimeters?
Acceleration and force
On a sphere weighing 100 g, which lies on a horizontal plate, a force acts in the horizontal direction, which gives it an acceleration of 20 cm/s². Find the magnitude of the force.
Newton law
At what acceleration does a train with a weight of 800 t start if the traction force of the locomotive is 2 * 10⁵ N?
The cyclist - avg speed
The cyclist make a distance of 25 km at an average speed of 20 km/h. How long did the trip take him (in hours and minutes)?
Barrel water remainder
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel?
A turtle 2
A turtle can walk 1/12 of a kilometre in an hour. The turtle is 1/5 of a kilometre away from a pond. How long will it take the turtle to reach the pond at this speed?
Air bubble
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius of r1 = 1 cm at a temperature of t1 = 4 °C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a temp

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