# Practice problems of the volume

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 m^{3}= 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 a

^{3}, 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: 2180

- Volume of cube

Solve the volume of a cube with a width of 26cm. - Calculate 37491

Calculate the edge size of a 48l cube. - An object

An object has a mass of 900 g and a volume of 1875 cm³. Calculate the density. - Area of square

Calculate the area of the square whose perimeter is 24 dm. - The shop

The shop has three hectoliters of water. How many liter bottles is it? - A cube 2

A cube has an edge length of 4 cm. Then its volume is: - Height of a cube

What is the volume of a cube if the height is 5cm? - Calculate

Calculate a sphere's volume and surface area with a diameter of 15 m. - The edge of a cube

How much does the edge of a cube of 54.9 cm³ measure? - Calculate 40611

Calculate the surface and volume of a sphere with a radius of 3m. - Half of the recipe

A recipe for a pancake needs 3 1/4 cups of flour. How much flour is needed to make half of the recipe? - Rotating cone

The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V. - Sphere VS

Find the surface and volume of a sphere with a radius of 2 dm. - Calculate 4171

Calculate the volume of a sphere with a diameter of 15 cm. - Hectoliter into cube

Can 1hl of water fit into a half-meter cube? - Container

How many three-quarters liters jars fill 30 liters containers? - Cuboid

Find the cuboid that has the same surface area as the volume. - Rotating cone

Calculate the volume of a rotating cone with base radius r=7 cm and height h=10 cm. - Solid in water

The solid weighs in air 16.1 kg and in water 13 kg. Calculate the density of the solid. - Cylinder - A&V

The cylinder has a volume of 1287. The base has a radius 10. What is the area of the surface of the cylinder?

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