Division + volume - practice problems - page 7 of 12
Number of problems found: 221
- Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast? - Spherical 21373
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim? - Barrel-shaped 20903
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill to 3/4 height?
- Transported 20543
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg/m². - The excavation
The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey - The bottle
The bottle contains 1.5 liters of mineral water. Pour all the water from the bottle into empty cups with a volume of 1/3 l. We will fill all but one to the brim. What part of the volume of the last cup is filled with water? - Cylinder 19723
Pool in the shape of a cylinder with a diameter of 10 meters and a height of 1m 80cm. How long will it be filled with a pipeline with a flow rate of 5,000 liters per hour? - Millimeters 19473
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily?
- Delivers 19143
The pump delivers 34 hl of water per minute. How long does it take to fill the tank with a volume of 10m³? Write the result in hours and minutes. - People 17333
The room is 240 cm high and has a volume of 48 m³. How many people can work in it when there is 7 m² of floor space per person? - Cylindrical 16713
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the - Identical 15863
The bottle contains 2 liters of milk. How many identical glasses will you fill from that bottle if 1/3 liter of milk fits in the glass? - Wax candles
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 4 inches and a height of 7 inches. If the company used 7561.12 in³ of wax, how many candles did it make? Use 3.14, and do not round your answer.
- Diameters 15683
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³? - The cylindrical container
The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting how many balls for the first time does water flow over t - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Five-liter 11431
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep? - Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the area of the wall of the smaller cube to the area of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger cube.
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