Practice problems of the volume - page 20 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
- Cylindrical 70024
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - Measuring 69764
You need to count 3 liters of water for one fish in the aquarium. Jaroslav has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jaroslav can keep in this aquarium if the water level reaches 5 cm below the to
- Paragraphs 69164
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm? - Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s. - Created 68734
From how many cubes with a 4 cm edge can a cube with a 16 cm edge be created? - Fertilizer 68694
0.6 l of fertilizer goes to 40 l of water. How much fertilizer should be put in per 10 liters of water? - Corresponding 68604
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Write the height of the prism with the corresponding expression of the prism in decimetres.
- Nina used
Nina used 2 liters of paint to paint a wall. The wall was a rectangle 2 meters high and 4 meters wide. How many liters of paint would she need to paint a rectangular wall which is 2.5 meters high and 8 meters wide? - Ava filled
Ava filled 3 cups with different amounts of water. The amounts were 225 ml, 370 ml, and 435 ml of water. Which of the following is the total amount of water, in liters, that Ava used to fill the 3 cups? - Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm. - Hectoliters 68174
In the meat atlas published by the Jindřich Boll Foundation, it is stated that one kilogram of meat requires 6.5 kg of grain, 36 kg of feed mixture, and 15 cubic meters of water. Laura's slice of beef in the burger weighed 45 grams raw. How many kilograms - Centimeters 68084
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume.
- Cube-shaped 67884
The cube-shaped drawer has an area of 405 dm square. Calculate the volume of this drawer. - Calculate 67794
Calculate the volume of the cuboid in the given unit if you know the lengths of its edges. A) a = 20 cm, b = 3 cm, c = 7 cm, (length) B) a = 10 mm, b = 8 mm, c = 9 mm, (ml) C) a = 30 cm, b = 5 cm, c = 8 cm, (l) D) a = 300 mm, b = 4 m, c = 7 dm, (hl) - Dimensions 67784
Earthenware tiles have dimensions of 20 cm, 20 cm, and 2 cm. The package, in which there are ten pieces of tiles, weighs 20 kg. Determine the density of the stoneware from which the tiles are made. - Density 67774
The prism, whose base is square / the side of the square is 20 cm / 30 cm high, is made of oak wood, and weighs 8.5 kg. What is the density of oak wood? - Determine 67764
The barrel filled with asphalt has a diameter of 60 cm and a height of 100 cm. The weight of the asphalt in it is 390 kg. Determine the density of the asphalt.
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Tip: Our volume units converter will help you convert volume units. See also more information on Wikipedia.