The following table shows a few of these units and their equivalent metric conversions. The volume calculator helps to calculate the volume of any given shape quickly and easily. Volume is a branch of mathematics that deals with measuring the capacity of different solid shapes. Try Cuemath volume calculator now. It is an online tool available for easy and fast calculations.
Example 1: Edwin has a conical vessel with a radius of 6 inches and a height of 7 inches. What is the volume of the vessel? The vessel is in the shape of a cone. Example 2: Joe loves playing with building blocks. He built a structure with 15 cubes. If the length edge of each cube is 3 inches, what would be the volume of his structure? Let's calculate the volume of one cube. Example 3: If the diameter of a ball is 14 inches, how much air can the ball hold?
The amount of air inside the ball will occupy the entire space in the ball. So, we need to find the volume of the ball. Let say, if a cup can hold ml of juice, its volume is said to be ml. In this case, volume can also be defined as the amount of juice occupied by a cup.
Volume is always calculated by dividing the capacity of shapes into equal cubical units. The volume of a shape or solid is the space occupied by it, which also includes its height or depth. It is measured in cubic units. The area is the space occupied by the surface of a flat shape. It is measured in square units. Since a ball is a sphere, its volume will be calculated using the formula for the volume of a sphere. We can find the volume of the prism by writing the given dimensions of the prism.
Once the value of the volume of the prism is obtained, write the unit of volume of the prism in the end in terms of cubic units. The volume of a tank depends on its shape. Depending on the size we can use the formulas given below:. Learn Practice Download. Volume Volume is the measure of the capacity that an object holds.
This can be seen through a simple exercise at home: Take a rectangular sheet of paper of length ' l ' cm and width ' h ' cm. Join the opposite sides of the sheet of paper without folding the sheet. You have made a 3-D object that encloses space inside it, from a 2-D sheet. Volume Definition 2. Volume of 3d Shapes 3. List of Volume Formulas 4. How to Calculate the Volume? Units of Volume 6. Volume Calculator 7. Volume Examples Example 1: Edwin has a conical vessel with a radius of 6 inches and a height of 7 inches.
Have questions on basic mathematical concepts? Volume is a measure of how much space an object takes up. For example two shoe boxes together have twice the volume of a single box, because they take up twice the amount of space.
Different shapes have different ways to find the volume. For example, in a cube we find the volume by multiplying the three side lengths together.
If you count the small cubes you will find there are 27 of them. See Volume of a cube. The volume of solid objects is measured in cubic units. For example in the cube above, if the sides are 3 meters long, then the volume is 27 cubic meters. If the sides were 3 feet long the volume would be 27 cubic feet. The most important thing to remember when calculating volume is that All the dimensions must be in the same units. We talk about the cube above having a volume of say 27 cubic meters, but there is a shorthand way of writing it.
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