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: 2346
- 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 - Calculate 64584
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - Quadrangular 64564
The surface of the quadrangular block is 3.4 dm². The edges of the figure are 8cm and 10cm long. Calculate the volume of the prism. - Classroom 64434
In physics class, students estimated the volume of the trash can in the classroom. There is a record of the answers of 20 pupils on the board. The actual volume of this dustbin was 12 liters. By how many liters does the average student estimate differ fro - Bathtub
There were 6 gallons of water in Mia's bathtub. Then, 0.1 gallons drained out. How much water is left in the bathtub? - A beauty
A beauty supply company has 53 liters of 5% hydrogen peroxide solution on hand. The company also has a nearly limitless amount of a solution that contains 35% hydrogen peroxide. How many liters of the 35% hydrogen peroxide solution should the company add - Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Original 63974
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube.
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