Unit conversion - math word problems - page 87 of 131

Number of problems found: 2607

Deformation 6260
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D
On the map
A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map?
Freight train
Twenty-five identical freight wagons are connected behind the locomotive. The weight of the locomotive and all wagons is 1009000 kg. The locomotive weighs 84 tons. How many kilograms does one freight car weigh?
Shadow of tree
Miro stands under a tree and watches its shadow and shadow of the tree. Miro is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Miro's shadow. How tall is the tree in meters?
Granite cube statue
What is the weight of a granite cube with an edge length of 75 cm if one m³ of granite weighs 2.7 tons?
Cubes into cuboid
How many 12-centimeter cubes fit into the block (cuboid) with 6 dm, 8.4dm, and 4.8?
Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides.
Length 6235
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool?
Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area.
Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area.
The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros.
Distance 6211
On a map with a scale of 1:25 000, the distance between cities is 11 cm. What is the actual distance between cities?
Konecara 6203
The trip to the top of Konecara and back lasted 5 hours and 17 minutes. We rested at the peaks for 32 minutes. The way back took 51 minutes less than the way there. How long did the trip to the top take?
Dimensions 6201
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts so they are the same distance on both sides? How many will he need to fence the entire property?
Water flow 2
How many liters of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter if the water flows at a speed of 30 km per hour?
Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
Calculate 6193
On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m. Calculate how many hectoliters of water will fit in the pool.
Three-quarters 6192
The swimming pool in the Veselý yard is square-shaped with dimensions of 2.5m by 3.4m and is 1.7 meters deep. How many liters are in the pool if it is filled to three-quarters of its total volume? Please round the result to tenths.
Dimensions 6190
The juice box with a volume of 1 l has two dimensions, 6 cm and 165 mm. Calculate the third dimension of the box.

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