Practice problems of the volume - page 3 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
- Inscribed
The cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long. - Equilateral cylinder
A hectolitre of water will fit in an equilateral cylinder. What are its dimensions? - Wood
Wood density is 0.6 g/cm³. How many kilograms weigh one m³ of wood? - Juice box
In the box is 0.3 liters of juice. How many liters of juice are 9 these boxes? - Sphere fall
How much percent fall volume of a sphere if diameter decreases 3×? - Cube in ball
The cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere? - Calculate 24881
Calculate a sphere's volume and surface area with a radius of 23dm. - Calculate 30361
Calculate the volume and surface of the cylinder r = 4cm, v = 6cm. - Calculate 21163
Calculate the volume and surface area of the sphere if given r = 36mm - Hectolitre 7540
What part of a hectolitre is 12 liters? State in fraction and decimal - Calculate 4581
Calculate the surface and volume of the sphere if r = 5cm. - A jug
A jug holds 1 2/3 of a liter of water. How much does a 5 1/2 jug hold? - A water
A water jug has 1 5/8 liters of liquid. How do you write this mixed number as a decimal? - Energy drink
You have 1/5 of an energy drink left. If you drink 1/5 of that, how much of your energy drink did you have left? - Millilitres
A 30-milliliter bottle of special fluid costs $50. How much does one milliliter of this fluid cost? - The cost 3
The cost of 2 ¾ liters of petrol is Rs 250 ½. What is the cost of 1 liter of petrol? - Gallons and quarts
5 gallons 2 quarts − 1 gallon 3 quarts = (Hint: 4 quarts equals 1 gallon. ) - Zhiwei
Zhiwei wants to divide 19 liters of water equally into six pots. Find the volume of water in each pot. - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - The number
What number of 1 cm cubes are required to make a 4 cm cube?
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