Octahedron volume calculator
Volume
Octahedron
Octahedron volume
The octahedron can be divided into two equal pyramids. Where the volume of one pyramid is equal to (base area × height) / 3. Therefore, the volume of the octahedron = 2 × the volume of the pyramid. In the case of the right octahedron, the base area equal a². To find the volume of an octahedron, you can use the following formula:
V = \dfrac{\sqrt{2}}{3}a^3
where V is the volume of the octahedron and a is the length of one of its sides.
Using our octahedron volume calculator, you can easily find the volume of your octahedron. To use the calculator, simply enter the length of one of the sides of your octahedron in the box provided, and the calculator will automatically calculate the volume for you.
Octahedron Volume Examples
Here are some examples of finding the volume of an octahedron using the formula:
Example 1
Find the volume of an octahedron with a side length of 5.
V = \dfrac{\sqrt{2}}{3}5^3
V ≈ 58.78
Example 2
Find the volume of an octahedron with a side length of 10.
V = \dfrac{\sqrt{2}}{3}10^3
V ≈ 942.81
Conclusion
Calculating the volume of an octahedron is a useful skill in geometry, and our octahedron volume calculator and formula make it easy to do. Try it out for yourself and see how easy it can be to find the volume of your octahedron!
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