Volume Calculator
Volume is the quantity of threedimensional space enclosed by a closed surface.
What is Volume Calculator?
'Cuemath's Volume Calculator' is an online tool that helps to calculate the volume of a given shape. Cuemath's online Volume Calculator helps you to calculate the volume within a few seconds.
How to Use Volume Calculator?
Please follow the below steps to find the volume:
 Step1: Choose a dropdown to find the volume.
 Step2: Enter the values in the given input box.
 Step 2: Click on the "Calculate" button to find the volume.
 Step 3: Click on the "Reset" button to clear the fields and find the volume for different shapes.
How to Find Volume Calculator?
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?
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

Example3:
Find the volume of a sphere if the radius is 3 units?
Solution:
The volume of a sphere = 4/3 ×π × r^{3}
= 4/3 ×3.14 × 3^{3}
= 4 × 3.14 × 9
= 113.09 cubic units

Example4:
Find the volume of the triangular prism whose base length is 5 units, the height of a triangle is 6 units, and the height of the prism is 7 units?Solution:
Given: l = 7 units, b = 5 units, and h = 6 units
The volume of triangular prism = Base Area × height of the prism = 1/2 × (b × h) × l
= 1/2 × (5 × 6) × 7
= 105 cubic units
Similarly, you can try the calculator to find the volume for:
 Find the volume of a cuboid if the base length of the cuboid is 5units, the base width of the cuboid is 6units, and the height of the cuboid is 7units
 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