Practice problems of the volume - page 12 of 117
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: 2323
- Ali bought
Ali bought 5/6 liters of milk. He drank 1/2 liter, and his brother drank 1/6 liter. How many liters of milk are left? - A box 2
A box has a length of 4 1/2 inches, a width of 3 2/3 inches, and a height of 8 1/4 inches. What is the volume of the box? - Cargo space
The truck's cargo space has dimensions a = 4.2 m, b = 1.9 m, and c = 8.1 dm. Calculate its volume. - Clay balls
How many can clay balls with a radius of 1 cm be made from a ball of clay with a radius of 8 cm? - Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³? - Height of the cylinder
The cylinder volume is 150 dm cubic. The base diameter is 100 cm. What is the height of the cylinder? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Soda factory
The soda factory produced 50 hl of lemonade, which they filled into 2 l bottles. How many bottles did they fill? - Pump
The pumps pumped six hundred eighty liters of water in 8 minutes. How many liters were spent in 56 minutes? - Water 31
Richard takes 3 1/6 liters of water before noon and 2 3/5 liters of water in the afternoon. How many liters of water does Richard consume a day? - Cylinder:
Cylinder: calculate the height of a 3-liter cylindrical pot with a diameter of 10 cm. - Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?): - Reduce of the volume
Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%. - Hectoliters
How many hectoliters of water fit into the cuboid tank with dimensions of a = 3.5 m, b = 2.5 m c = 1.4 m? - Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water? - Water well
Drilled well has a depth of 20 meters and a 0.1 meters radius. How many liters of water can fit into the well? - Cube basics
How long is the edge length of a cube with volume 15 m³? - Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower? - Common cylinder
I've quite a common example of a rotary cylinder. Known: S1 = 1 m2, r = 0.1 m Calculate : v =? V =? Can you verify the results? - Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
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