# Volume Calculator

Volume Calculator calculates the volume of a given shape. Volume is a branch of mathematics that deals with different shapes and their capacity.

## What is Volume Calculator?

Volume Calculator is an online tool used to calculate the capacity of the given shape. ** The volume calculator** helps to calculate the volume in a few seconds. To use this calculator, enter values in the input box.

### Volume Calculator

## How to Use Volume Calculator?

Please follow the below steps to find the volume using an online volume calculator:

**Step1:**Go to Cuemath’s online volume calculator.**Step2:**Enter the values in the input box of the volume calculator and choose the shape from the drop-down list.**Step 2:**Click on the "Calculate" button to find the volume.**Step 3:**Click on the "Reset" button to clear the fields and enter new values.

## How does Volume Calculator work?

The volume is defined as the capacity of the shape or the measure of the amount of space it occupies and it is measured in cubic units. There are different shapes to find the volume.

**1. Volume of the cube:** It is defined as the capacity of the cube or the measure of the amount of space it occupies.The formula to calculate the volume of the cube is:

The volume of a cube = a^{3 }cubic units

Where 'a' is the side of the cube.

**2. Volume of a cuboid: **It is defined as the capacity of the cuboid or the measure of the amount of space it occupies. The formula to calculate the volume of a cuboid is:

The volume of a cuboid = Base Area × Height = l × b × h

Note: The base area of a cuboid is a rectangle which is l × b.

Where 'l' is the base length of the cuboid, 'b' is the base width of the cuboid, and 'h' is the height of the cuboid.

**3. Volume of a cylinder:** It is defined as the capacity of the cylinder or the measure of the amount of space it occupies. The formula to calculate the volume of a cylinder is:

Volume of a cylinder = πr^{2}h

Where r is the radius of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

4. **Volume of a cone:** It is defined as the capacity of the cone or the measure of the amount of space it occupies. The formula to calculate the volume of a cone is:

The volume of a cone = (1/3)πr^{2}h

Where 'r' is the radius of a cone and 'h' is the height of a cone

5. **Volume of a sphere: **It is defined as the capacity of the sphere or the measure of the amount of space it occupies. The formula to calculate the volume of a sphere is:

The volume of a sphere = 4/3 ×π × r^{3}

Where 'r' is the radius of the sphere.

6. **Volume of a triangular prism: **It is defined as the capacity of the triangular prism or the measure of the amount of space it occupies. The formula to calculate the volume of a triangular prism is:

The volume of triangular prism = Base Area × height of the prism = 1/2 × (b × h) × l

Where 'b' is base length, and 'h' is the height of the triangle, and 'l' is the distance between the bases or height of the triangle of the prism.

7. **Volume of a triangular pyramid: **It is defined as the capacity of the pyramid or the measure of the amount of space it occupies. The formula to calculate the volume of a triangular pyramid is:

The volume of a triangular pyramid = 1/3 × Base Area of triangle × Height of pyramid

Note: Base area of a triangle is 1/2 × base width of triangle × base height of the triangle

## Solved examples on volume calculator

**Example1:** Find the volume of a cube if the length of the side is 9 units and verify it using the volume calculator.

**Solution:**

The formula used to find the volume of a cube = a^{3 }cubic units

= (9)^{3} cubic units

= 9 × 9 × 9 cubic units

=729 cubic units

**Example2:** Find the volume of a cone whose height = 3 units and radius = 7 units.

**Solution:**

When the height and radius are given, we can use the formula to calculate the volume of a cone.

Volume = (1/3)πr²h

=(1/3)π × 7² × 3

=153.86 cubic units

Similarly, you can try the calculator to find the volume using an online volume calculator for the following:

- Find the volume of a cuboid if the base length of the cuboid is 5 units, the base width of the cuboid is 6units, and the height of the cuboid is 7 units.
- Find the volume of a triangular pyramid with a base width of a triangle of 5 units, the base height of a triangle is 6 units, and the height of the pyramid is 9 units.

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