Practice problems of the volume - page 11 of 117
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: 2323
- Calculate 41881
The volume of the sphere is 803.84m³. Calculate its surface. - Substance 40223
A body made of a substance has a volume of 0.860 m³ and a weight of 0.004 t. What is the density of this substance? - Quadrilateral 35053
Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - Density 30441
How many kg weighs 1 m³ of gold? Au gold density is 19.3 kg · dm − 3 - Liters 27951
Water tank, r = 60cm, h = 90cm. How many liters of water can fit in it? - Percentage 24931
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder? - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating? - Granite 19643
The granite block weighs 8.7 tons. The density of granite is 2.9 g / cm³. Find the volume of the block in m³. - Density 8681
What volume is 1/2 kg of gold? The density of gold is 19.3 kg/dm³. - Consumption 8079
The survey reduced hot water consumption by a ratio of 4:5. By what percentage has household water consumption decreased? - Length 7308
How many ml of water will fit in a cube with an edge length of 5 cm? - Watering 5813
The garden hose flows 21 1/2 liters of water in one minute. How many liters of water are used for water in 8 1/2 minutes? - Calculate 4582
Calculate the surface of a sphere whose volume is 33.9 cm cubic. - Substance 3984
There are 5 ml of active substance in a 600 ml spray. How much is it per mille? - Kilograms 3049
The water barrel weighs m kilograms. An empty barrel has a weight and kilograms. What is the weight of water in 15 barrels? - Rodrigo’s
Rodrigo's fish bowl holds 7/8 gallons of water. It is now 1/2 full. How much water is in it? - Mr. Ali
Mr. Ali gave 26 liters of orange juice to his 3 kids equally. How much did each kid get? - Three glasses 2
When a jug is half full, it contains enough juice to fill 3 glasses. How full would the jug be if it had enough juice to fill 5 glasses? - Unit price
A 4-ounce bottle of soap costs $1.37. What is the unit price, rounded to the nearest cent? - Denise
Denise drinks 1 4/12 liters of water daily. Claudine and Allysa drink 1 3/12 and 1 7/12 liters of water daily, respectively. How many liters of water do the three consume daily?
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