Practice problems of the volume - page 46 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: 2354
- Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7dm². Calculate what pressure force acts on the window at a depth of 20 meters below the water surface. - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Calculate 31061
There are two hectoliters of water in the barrel, and it reaches a height of 125cm. Calculate the inside diameter of the barrel - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.
- Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee. - Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone? - Rotating cone
Find the rotating cone's surface and volume if its side is 150 mm long and the circumference of the base is 43.96 cm. - Calculate 30991
The volume of the cone is 461.58 cm³. Its diameter is 14 cm. Calculate the surface area of this cone.
- Cone - side
Find the cone's surface area and volume if its height is 125 mm and the side length is 17 cm. - Calculate 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm. - Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm. - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
- Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Circumference 30761
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm. - Perimeter 30751
The pile of sand dumped from the car has the shape of a cone with a height of 1.4 m and a perimeter of 7.98 m. How many m³ of sand is there for the buyer if the sand density is 1,750 kg/m³? - Environmentally 30731
Peter plans to buy a used seven-seater for a large family. The so-called van or MPV. The first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros + 350 euros registration for Slovak brands, imported from Italy. It is 14 years old and has a co - Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
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