Practice problems of the volume - page 32 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
- Temperature 80864
You have water at a temperature of 10°C and boiling water at a temperature of 100°C. How do you prepare 9 liters of water at a temperature of 30°C? - Triangular 80766
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Calculate 75014
The surface of a cube is equal to 294 square meters. Calculate the edge and volume of the cube. - Dimensions 67784
Earthenware tiles have dimensions of 20 cm, 20 cm, and 2 cm. The package, in which there are ten pieces of tiles, weighs 20 kg. Determine the density of the stoneware from which the tiles are made. - Vertically 65984
We threw the stone vertically upwards at a speed of v = 15m. s-1. How long will it be at a) 10 m, b) 12 m? - Chocolate 65824
Robert has 8.2 cm, 3.1 cm, and 0.8 cm chocolate. Norbert has 0.4 cm, 5 cm and 7.9 cm chocolate. Which one has more chocolate, and how much? - Kindergarten 60933
Each of the 60 kindergarten children drank 1.5 liters of milk on Monday morning and 1.8 liters of milk in the afternoon. How many liters of milk did all the children of this kindergarten drink on Monday? - Calculate 47933
Calculate the weight of the steel roller if d = 2.4 cm, height v = 5.6 cm, density ρ = 8 g / cm³. - Quarter-liter 46873
We filled half the jug with water. We poured this water into quarter-liter cups. Five cups filled to the brim, the sixth only half its volume. What is the volume of the pitcher? - Imported 45531
They used a quarter of the imported milk to make butter, half to make a cream, and 100 liters to make cottage cheese at the dairy. How many liters of milk was used to make the cream? - Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm. - Calculate 31991
Calculate the volume and surface of a prism whose height is 16 cm, and the base is in the shape of a right triangle with 5cm and 12cm trunks and a 13cm diaphragm. - Calculate 25321
Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm. - Diameter 24181
What is the weight of a lead ball with a diameter of 3 cm if the density of lead is 11340 kg/m cubic? - Calculate 21743
Calculate the volume of the block in liters with edge lengths of 3dm, 15cm, and 120mm. - Three-quarters 18763
The oil tank in the factory hall has the shape of a cylinder 8 m high and 4 m in diameter. It is three-quarters full. How much oil is in it? - Five-liter 11431
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep? - Failure 8164
Fifty liters of water should flow into the pool every minute. In the event of a pump failure, only 0.4 (4/10) of that amount flowed. How many liters of water flowed in every minute? - Liters 7869
There are a total of 1309 liters of oil in the two tanks. In the second, there are 4.5 times more than in the first. How many liters of oil is in each tank? - Triangular 6345
Calculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = Va = 4m, and c = 5m. The height of the prism is v = 5.5 m.
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