Practice problems of the volume - page 9 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2353
- Deciliters 82303
Juraj had 1 liter of pure orange juice in the bottle. He drained 2 deciliters of it and replaced it with water. What is the ratio of orange juice to water in the bottle now? - Powerful 82250
In 5 minutes, it pumps 1240 l of water with the pump. Can two equally powerful pumps pump 500 liters of water in 1 minute? - Shaped 82232
How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm? - Two-hundred-liter 82230
What is the weight of a two-hundred-liter barrel with ethanol if the empty barrel weighs 50 kg?
- Centimeters 82219
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Construction 82214
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Diameter 82212
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9g/cm³? - Recommended 82165
The recommended room size is 90 cubic meters. How many square meters is it? (room height is 2.5 m) - Operation 82150
In 24 hours, the engine consumes 346 I of gasoline. How many liters does it consume in 126 hours of operation?
- Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base. - Equilateral 82136
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high? - Whipped 82128
700 ml of whipped cream costs €4.99. We bought 6 of them for €29.94. How much does 1 liter of whipped cream cost? - Calculate 82078
The volume of a cube is 0.512 m³. Calculate its surface area. - Calculate 82077
The surface of the cube is 150 dm². Calculate its volume.
- Calculate 82073
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm. - Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm. - Rectangular 82065
Calculate the volume of a pyramid with a rectangular base with sides a = 7 cm, b = 5 cm, and height of the pyramid v = 13 cm. - Quadrilateral 82052
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm. - Calculate 82037
They will calculate the volume of a body that stretches the force gauge in the air with a force of 80N. After immersion in glycerol with a density of 12 kg. m-3 is a load cell stretched by a force of 30N.
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Tip: Our volume units converter will help you convert volume units. See also more information on Wikipedia.