Volume is the amount of space an object or substance occupies. The volume formula is used to calculate the space an object takes up. The most common way to measure volume is with a graduated cylinder. There are other ways to calculate volume, such as the water displacement method and the use of geometric formulas. The volume formula is V = l x w x h, where V represents volume, l represents length, w represents width, and h represents height.
What is volume?
volume is the amount of space that an object or substance occupies. It is often measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3).
The volume of a solid object is the amount of space it takes up, and is therefore measured in units of length cubed. The most common unit for measuring the volume of a solid object is the cubic centimeter (cm3), although the cubic meter (m3) is also sometimes used.
The volume of a liquid is usually expressed in terms of its capacity, which is the amount of liquid it can hold. The most common unit for measuring the capacity of a liquid container is the liter (L).
The volume of a gas is usually expressed in terms of its pressure and temperature. The standard unit for measuring the volume of a gas is the liter at standard temperature and pressure (STP).
Volume Formulas of Various Geometric Figures
In the above table we are showing volume formulas of various geometric figures.
| Shapes | Volume Formula | Variables |
|---|---|---|
| Ellipsoid | V = (4⁄3) × π × a × b × c | a, b, c = semi-axes of an ellipsoid |
| Tetrahedron | V = a3⁄ (6 √2) | a = Length of edge |
| Cube | V = a3 | a = Length of edge or side |
| Cylinder | V = πr2h | r = Radius of circular base h = Height |
| Pyramid | V = (1⁄3) × B × h | B = Area of base, h = Height of pyramid |
| Sphere | V = (4⁄3)πr3 | r = Radius of sphere |
| Right Circular Cone | V = (1⁄3)πr2h | r = Radius of circular base h = Height |
| Prism | V = B × h | B = Area of base, (B = side2 or length.breadth) h = Height |
| Rectangular Solid or Cuboid | V = l × w × h | l = Length w = Width h = Height |
| Square or Rectangular Pyramid | V = (1⁄3) × l × w × h | l = Length of base, w = Width of base, h = Height (base to tip) |
How is volume calculated?
To calculate the volume of an object, you will need to know its dimensions. The volume of a rectangular prism can be found by multiplying the length times the width times the height. The formula for a cylinder is pi times the radius squared times the height. To find the volume of a sphere, use the formula 4/3 pi r cubed, where r is the radius of the sphere.
What are the different units of measurement for volume?
There are a few different units of measurement for volume, the most common being liters and gallons. Others include cubic centimeters, cubic inches, and cubic feet. The volume formula used will depend on the unit of measurement being used.
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What are some common objects and their corresponding volumes?
There are many different objects and materials that we encounter in our everyday lives. Each of these objects has a corresponding volume that can be measured using various formulas. Some common objects and their volumes are as follows:
-A standard box of cereal is usually about 18 ounces, or 0.5 liters.
-A gallon of milk is approximately 3.78 liters.
-A can of soda is typically 12 ounces, or 0.355 liters.
-The average human brain weighs about 1.5 pounds, or 0.68 kg.
Knowing the volume of common objects can be helpful in many situations, such as when measuring ingredients for recipes or converting units of measurement.
How can I use volume formulas in real life?
In order to understand how to use volume formulas in real life, it is important to understand what volume is. Volume is the amount of space that an object occupies. It is a measure of the size of an object. The most common unit of measurement for volume is the cubic meter (m3).
There are many different ways to calculate the volume of an object. The simplest way to calculate volume is by using the formula for a rectangular prism. A rectangular prism is a three-dimensional figure with six faces that are all rectangles. The formula for calculating the volume of a rectangular prism is V = l x w x h, where l = length, w = width, and h = height.
Another common way to calculate volume is by using the formula for a cylinder. A cylinder is a three-dimensional figure with two circular faces and one flat face. The formula for calculating the volume of a cylinder is V = πr2h, where π= 3.14, r = radius, and h = height.
There are many other formulas for calculating the volume of different objects, but these are two of the most common ones. In order to use these formulas in real life, you need to know the dimensions of the object you are trying to measure. Once you have those dimensions, you can plug them into the appropriate formula and calculate the volume
Conclusion
There you go! These are the most important volume formulas that you need to know. Memorize them, practice them, and make sure you understand how to use them before your next test. With a little bit of effort, you’ll be able to ace any question on volume that comes your way.
