Volume Pirâmide Quadrada
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
V = l²h/3
About this calculator
The square pyramid volume calculator computes the volume of a pyramid with a square base. Volume is the three-dimensional space occupied by the pyramid. The formula used is V = (1/3) * base area * height, where base area is the square of the side length (l²).
To use the calculator, enter the side length of the base and the height of the pyramid. The result is given in cubic units, such as cm³ or m³. This tool is useful for geometry students, architects, and engineers who need quick volume calculations.
Use cases include calculating the volume of a pyramid-shaped tent, a monument, or a geometric solid in school exercises. It is important to measure the base side and the perpendicular height from base to apex correctly.
Cautions: ensure the units of measurement are the same for side and height. Common mistakes include confusing slant height with perpendicular height. The height must be measured from the center of the base to the apex, forming a right angle with the base.
Frequently asked questions
What is the difference between height and slant height in a square pyramid?
Height is the perpendicular distance from the center of the base to the apex. Slant height is the distance from the apex to the midpoint of a base edge along the lateral face.
Can I use this calculator for pyramids with a rectangular base?
No, this calculator is specific to square bases. For rectangular bases, use the formula V = (1/3) * length * width * height.
What happens if I enter side and height in different units?
The result will be incorrect. Always convert all measurements to the same unit before calculating.
Does the calculator work for truncated pyramids?
No, the formula used is only for complete (non-truncated) pyramids. For truncated pyramids, a specific formula is needed.
How do I find the height if I only have the slant height?
Use the Pythagorean theorem: height = √(slant_height² - (side/2)²), provided the slant height is from a lateral face.