Pyramid Volume Formula:
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The volume of a pyramid is the space it occupies, calculated as one-third of the product of its base area and height. This applies to all pyramids regardless of base shape (square, triangular, etc.).
The calculator uses the pyramid volume formula:
Where:
Explanation: The formula shows that pyramid volume is exactly one-third of the volume of a prism with the same base and height.
Details: Calculating pyramid volume is essential in architecture, construction, geometry, and various engineering applications where pyramid-shaped structures or containers are used.
Tips: Enter base area in m² and height in m. Both values must be positive numbers. The calculator will compute the volume in cubic meters.
Q1: Does this work for all pyramid types?
A: Yes, the formula applies to any pyramid regardless of base shape (square, rectangular, triangular, etc.) as long as you know the base area.
Q2: What if I only have base dimensions?
A: First calculate the base area (e.g., side² for square base, length×width for rectangle, ½×base×height for triangle), then use this calculator.
Q3: How accurate is this calculation?
A: The calculation is mathematically exact for perfect pyramids. Real-world measurements may have some margin of error.
Q4: Can I use different units?
A: Yes, but all measurements must be in consistent units (e.g., all in cm or all in m). The result will be in cubic units of your input.
Q5: Does this work for cones?
A: Yes, cones are circular pyramids. Use πr² for the base area of a cone.