Practice problems of the volume - page 20 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 74674
Calculate a cube's surface area and edge if its volume equals 3375 cubic meters. - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Created 68734
From how many cubes with a 4 cm edge can a cube with a 16 cm edge be created? - Percentage 67564
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Calculate 65664
Calculate the remaining side of the rectangle when you know the size of the perimeter and the length of one side. o-38cm, a-12cm. - Calculate: 64984
The ABCDEFGH cube (sketch it) has a debt edge of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume - Hectoliters 63294
The lemonade is filled into 1/3 liter bottles. How many bottles must be used to fill two hectoliters of lemonade? - 10-liter 63104
The yard is square with a side of 20 meters. It rained 2 mm of water. How many 10-liter mopers would replace this rain? - Container 59083
In the garden, there was 121l of water in a large container. How many buckets of 9 l will we fill? - Cubes 47583
How many small cubes do we get when we cut a cube with an edge of 27 cm into cubes with an edge of 3 cm? - Dredged 47291
The pit for the pool will be 30 meters long, 15 meters wide, and 2 meters deep. How many cubic meters of clay need to be dredged? - Liters 44041
What is the length of the edge of a cube with a volume of V = 1728 liters? - Cylindrical 22193
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second? - Cylindrical 7941
How high will 1 liter of water in a cylindrical vessel with a bottom diameter of 8 cm reach? - Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Determine 6008
We will create a larger cube from 27 cubes with an edge of 2 cm. Determine the surface of the built cube. - Three-fifths 5801
Anka bought one whole 5 liters of mineral water for trip one and drank three-fifths of it. How many liters of mineral water are left? - Millimeters 3903
The surface area of one cube wall is 2500 square millimeters. Determine the cube's surface, the length of its edge, and its volume. - Surface 3154
The cube's edge, the volume of which is 58.3% of its surface, is a) 3.5cm, b) 4.5cm, c) 2.5cm d) 1.5cm. - Container 3134
How many 15ml syringes can be filled from a 0.0045m³ container? Write the result as an integer.
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