Practice problems of the volume - page 41 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: 2355
- Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge? - The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros? - Cylindrical 37801
A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m. At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank? - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm².
- The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - Spherical section cut
Find the volume of a spherical section if the radius of its base is 10 cm and the magnitude of the central angle ω = 120 degrees. - Calculate 37491
Calculate the edge size of a 48l cube. - Hexaprism container
Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m, a base edge of 3dm, and a corresponding height of 2.6 dm. - Cross-section 37443
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g / cm³? What is the surface of the iron rod?
- Completely 37433
Find the magnitude of the buoyancy force acting on a body with a volume of 1 dm³ whole immersed: a) in water b) in ethanol. - Calculate 37331
Calculate the weight of a cube with an edge length of 15 cm made of iron, / ρ = 7250 kg. M-3 / - Prism height
What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface. - Three-quarters 37241
We have two cube-shaped tanks. The first has an edge of 12 dm long, and the second has an edge of 20% longer. By what % more or less water is there in the second tank if the first is three-quarters full and the second three-eighths full? - Buoyancy force
An adult male has a volume of about 0.070 m³. How much buoyancy affects him when he is completely immersed in water?
- The bath
Dad poured 50 liters of water at 60°C into the tub. How much must he add cold water at 10°C to obtain a bath that has a temperature of 40°C? - Percentage 37021
What percentage of vinegar do we get by mixing 2 liters of 8% vinegar with 3 liters of 4% vinegar? - Laboratory 37011
How much distilled water does a laboratory assistant have to add to 500 ml of 30 percent hydrogen peroxide to prepare a 3% gargle? - Temperature 37001
The mother prepared half a liter of cold water for the children to drink. It mixed water at 20 ° C with 400 ml of cold water at 5 ° C. What was the temperature of the prepared drink? - Temperature 36991
Honza filled 2 liters of hot water at a temperature of 90 °C from a heater into a five-liter container. What temperature must the water that the container fills have a mixture temperature of 42 °C?
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