Practice problems of the volume - page 10 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
- Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Liter of gold
What weight does one dm³ of gold have? Gold density is 19,300 kg/m3 - Gas consumption
The vessel consumes 100 tons of gas in 250 miles. How much fuel will the vessel consume if it travels 400 miles? - Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area. - Cube volume
The cube has a surface of 384 cm². Calculate its volume. - The tap
For one day flows, 148 l of water came out of the tap. How much water will flow out for 3/4 days? - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Fire tank
How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water? - Cylinder - basics
Cylinder with base radius r = 54 cm and height h=35 cm. Calculate: a) Area of the base - Pitcher 20403
One pitcher is filled to 22/25 of its volume. The other pitcher is filled to 1/9 of its volume. Which pitcher is filled more? - Liters 82399
Fifty cows drink 2500 liters of water per day. How much water will 24 cows drink? - Quadrilateral 82052
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm. - Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m? - Cubes 81080
How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm? - Decrease 80441
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Two-thirds 78754
There are 90 liters of water in the rainwater barrel. Dad drained two-thirds of the barrel. How many liters of water are left in the barrel? - Surface 72394
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube. - Container 67524
One milk container weighs 80g. What is the weight of a package of 12-liter milk cartons? - Volume 63234
The cube with a volume of 216 l has an edge with the following: - Five-eighth 61644
The glass can hold five-eighth liters of water. How many glasses would we fill with two five-liter bottles?
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