Practice problems of the volume - page 24 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
- Bricklayer 65064
The bricklayer would be able to repair the wall himself in 30 minutes. It would take students an hour to learn. How long will it take for them to work together? - Gasoline 65034
My father refueled 40 liters of gasoline for 61.40 euros. He then refueled 8 liters of the same petrol into an empty canister. How many euros did gasoline cost in a canister? - Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Circumference 64994
Calculate the volume of the cylinder if the circumference of the base o = 31.4 cm, height v = 6.4 cm
- 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 - Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Dimensions 64944
The swimming pool's interior with dimensions of 50m, 15m, and 3m should be lined with tiles. How many square meters of tiles are used for this? - Approximately 64934
How many kg of paint will we use to paint the walls and ceiling of a room with a length of 9m, a width of 6m, and a height of 3.2m if 1kg of paint is enough for approximately 6m square? Subtract 6 square meters from the surface of the walls, which are the - Difference 64924
We get a block if we stack two cubes with an edge of 1dm. What is the difference between the surfaces of this block and the cube?
- Horizontal 64864
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Children's 64844
An architect has two plans for the same apartment at different scales. On the first plan, with a scale of 1:20, the length of the children's room is 20 cm. What is the children's room size on the second plan with a scale of 1:50? - Following 64814
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third party c: (A) 7 - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Calculate 64734
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut.
- Quadrangular 64724
The decorative object has a quadrangular pyramid shape, the base edge is 0.7 dm, and the side edge is 1.4 dm long. Calculate the height of the object. - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - Hypotenuse 64694
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the content of triangle ABC if the line on the hypotenuse is 0.2 dm long and if | ∢ACS | = 30 °. - Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Calculate 64644
The aquarium is 5 dm long and 4 dm wide and contains 60 liters of water. A) calculate the height of the aquarium if the water reaches 5 cm below the edge B) calculate the total volume of the aquarium
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Tip: Our volume units converter will help you convert volume units. See also more information on Wikipedia.