Practice problems of the volume - page 10 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 81957
How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar? - Inscribed 81949
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Calculate 81947
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³. - Consumption 81941
The car consumes up to 16 l in the city, but on a longer trip, the consumption drops to 10 l? 500 km per month in the city and 1650 km outside the city. What is the consumption of a car per 100 km? - Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Calculate 81936
The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid. - Calculate 81935
The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid. - Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill? - Percentage 81914
The carpenter worked on a rotary cylinder with a base radius of 2.5 dm and a height of 2 dm. He reduced the radius by 1 cm by uniform grinding, and the height of the cylinder was preserved. Calculate the percentage by which the volume of the cylinder has - Christmas 81912
Mom got a 50ml perfume for her birthday for 1,000 CZK. For Christmas, she received 100 ml of perfume for 1800 kc. How much is 1 ml of each perfume in CZK? Which one is cheaper? - Dimensions 81909
The foundation pit for building houses has a face of blocks with dimensions of 10 meters, 10 meters, and 2 meters. After a heavy rain, the water is filled to the brim. The pump pumps out 10 m³ of water in 1 hour. In how many hours will the pit be empty? - Acquaintances 81901
One liter of oil is enough for mom, dad, and son for 20 days. How many days will pass if 2 acquaintances come to visit? - Weighs 81870
The ring weighs 28g and has a volume of 2cm³ to find out if it is made of pure gold. - Dimensions 81850
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - Calculate 81841
The sum of the lengths of all the cube's edges is 60 cm. How to calculate its volume? - Approximately 81836
Approximately how many liters of water are there in a pot with a base diameter of 32 cm and a height of 25 cm? - Hectoliters 81834
They filled the 25m long, 15m wide swimming pool with water to a height of 80cm. How many hectoliters of water did they put in, and how long did it take for the pool to fill if 375 hectoliters flow in 1 hour? - KiloJoules energy
In the washing machine, 6 liters of water were heated from a temperature of 22 degrees to 62 degrees. Find out the weight of 6 liters of water. What heat (in kJ= kiloJoules) did the water receive? - Understanding 81807
The aquarium is 0.7m long and 25cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.