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: 2347
- 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. - Measuring 67734
The candle has the shape of a block measuring 3 cm, 4 cm, and 5 cm. How many times is more wax used to make a candle if we gradually enlarge one, two, and all three edges twice?
- Aquarium 67724
The aquarium measures 40 cm, 40 cm, and 50 cm. The water reaches 45 mm from the upper edge. Norbert bought the fish, and when he put them in the aquarium, the step level was 0.5 mm. What is the volume of new fish? - Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Hectoliters 67704
In the pool, which is 15 m long, 6 m wide, and 2 m deep, the water level is 20 cm below the edge. How many hectoliters of water are in the pool? - Completely 67674
A) Can the maximum number of sugar cubes with a volume of 3375 cubic mm fit in a new cube-shaped sugar bowl with internal dimensions of 12 cm, 6 cm, and 3 cm? B) Mom poured sugar cubes into the new sugar bowl, filling it completely. She estimated that the - Midnight 67644
The bacteria in the test tube divide into two every second, with each new one having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full?
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