Practice problems of the volume - page 55 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
- Cube-shaped 23041
A pint of sugar weighs 800 g. How many tons of sugar will fit in a 100cm cube-shaped box? - Calculate 23031
The pool has sides of 5m 2m, and the water was 100hl. Calculate the height of the water in the pool. - Originally 22951
The tank originally had 7 m³ of gasoline. We gradually pumped out 3hl, 3000dm3, and 700 liters of gasoline. How many liters of petrol is left in the tank? - Volume and surface area
Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.
- Cylinder-shaped 22643
The cylinder-shaped container contains 80 l of water and is filled. The height of the container is 70 cm. Calculate the diameter of the bottom of the container. - Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³? - What is bigger?
Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm? - Calculate 22533
Calculate the weight of the cube, which is made of wood with a density ρ = 0.725 g / cm, the edge of the cube is 32 cm, - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating?
- Square-shaped 22513
The square-shaped aquarium is 65 cm long, 24 cm wide, and 30 cm high. How many liters of water are in an aquarium if the water reaches 5 cm below its upper edge? - Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Calculate 22263
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim. - The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it?
- Cylindrical 22193
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second? - Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach? - Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - Temperature 21973
The aluminum container has an internal volume of 0.75 l at 20 ° C. How does this volume change if the temperature increases by 55 ° C? A = 24.10-6 K-1. - Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m².
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