Practice problems of the volume - page 4 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
- Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Cylinder - A&V
The cylinder has a volume of 463. The base has a radius 4. What is the area of the surface of the cylinder? - Calculate 4580
Calculate the surface and volume of the sphere if the diameter d = 6.5dm - Students 3890
Three students drink 2 liters of milk a week. How many liters of milk do nine students drink in two weeks? - Percentage 3138
What percentage are 720 liters of 6m³? - Kerosene 2897
What is the volume of kerosene if its weight is 8g? The density of kerosene is 780 g / l - Calculate 2577
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm. - A car 7
A car driver filled with 12.5 liters of gasoline and paid PhP593.75. How much is a liter of gasoline? - Two containers
Two containers contain 0.372 L and 1.23 L of juice. What is the difference, in liters, in the volume of juice? - The cost 9
The cost of 8 1/4 L petrol is $33. What is the cost of one liter? - Area to volume
The area of one cube wall is 36 cm². What is the volume of the cube? - The cost
The cost of 5 1/2 of the milk is 4 euros. How will 4 5/7 of milk? - The base
The base of the quadrilateral prism is a trapezoid with an area of 75 cm square. The prism is 6 cm high. Find the volume of the prism. - A glass
A glass holds 3/4 cups. A jug holds 12 cups. How many glasses can be filled? - Oil tank
There is 67 m³ of oil in the tank. What is its weight? The density of the oil is 910 kg/m³. - Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm, if ρ = 8.9 g/cm³? - A square base
A solid right pyramid has a square base. The base edge length is 4 centimeters, and the pyramid's height is 3 centimeters. What is the volume of the pyramid? - Gasoline price
At 34.4 cents per liter, how much will 42 liters of gasoline cost? - Gold horseshoe
Calculate the volume of a gold horseshoe that weighs 750g. - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it?
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