Practice problems of the volume - page 51 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
- Cuboid-shaped 27421
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water? - Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm. - The trench
Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m. - Calculate 27171
The volume of the right 4-side pyramid is 138 m3, and its height is 9m. Calculate the area of the base and the edge of its base.
- Spherical 27051
How much fabric is needed to sew a spherical hot air balloon with a diameter of 15 m? How much air is needed to inflate the balloon? - Containers 27031
Currant juice is stored in 3l containers in the cellar. If there is a total of 5310 l of currant juice in the containers, how many containers are in stock? - Empty barrel
In the backyard is an empty barrel with a volume of 2 hl. How many liters are missing at the edge when 53 liters flowed into it for one day and 68 liters of water for two days? - Straightened 26861
A Mazda van with a box body with internal dimensions of 1.6 m x 3.1 m x 1.7 m (w x d x h) with a payload of 1.7 tons delivers crates with pastries. Pastry box 520: dimensions 600mm x 400mm x 200mm (l x w x h), load capacity 15 kg. Calculate: a) How many c - Shell area cy
The cylinder has a shell area of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder.
- The cylinder
The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Cylinder-shaped 26631
What is the volume V (dl) of a cylinder-shaped mug if it is 8cm high and its figure is 7cm? - Alcohol from potatoes
In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol? - Increase 26531
How many times does the density of a steel pipe increase if we triple its length? - A bottle
A bottle full of cola weighs 1,320 g. If we drink three-tenths of it, it will weigh 1,008g. How much does an empty bottle weigh?
- Aquarium height
How high does the water in the aquarium reach if there are 36 liters of water in it? The length of the aquarium is 60 cm, and the width is 4 dm. - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm². - Concrete hatch
The concrete hatch for a round well has a diameter of 1300 mm and a thickness of 80 mm. Determine its weight in kg if the density of the concrete is 2545 kg/m3 - Aquarium 26311
The bottom of the aquarium measures 30 cm and 50 cm. To what height will the aquarium be filled if 60 liters of water are poured into it? - Three examples per-mille
A. Calculate 1.5 ‰ from 4.5 liters of blood. Express the result in milliliters. B. Calculate three ‰ from € 50,000. C. The tray they brought breakfast to the landlord's bed is made of an alloy that contains 830 ‰ of silver. How much silver did they use on
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