Square Pyramid Volume Calculator
Find the volume of a pyramid with a square base. Enter the base width and the perpendicular height to get the result.
Volume (V) = (1/3) × Base Side² × Height
If Base Side = 6 and Height = 10: V = (1/3) * 36 * 10 = 120
What is the volume of a square pyramid?
The volume of a square pyramid is the amount of space inside the pyramid. It is calculated as one-third of the area of the square base multiplied by the vertical height.
What is the formula for the volume of a square pyramid?
The formula is V = (1/3) × a² × h, where "a" is the length of one side of the square base and "h" is the vertical height of the pyramid.
What is the difference between height and slant height?
The height (h) is the perpendicular distance from the base to the apex. The slant height (s) is the distance from the apex to the midpoint of a base edge. For volume, you must use the vertical height.
How do I find volume if I only have the slant height?
You can find the vertical height using the Pythagorean theorem: h = √(s² - (a/2)²), where s is slant height and a is base side.
🔗 Related Calculators
📐 Formula
Volume (V) = (1/3) × Base Side² × Height
📝 Example Calculation
If Base Side = 6 and Height = 10: V = (1/3) * 36 * 10 = 120
❓ Frequently Asked Questions
What is the volume of a square pyramid?▼
The volume of a square pyramid is the amount of space inside the pyramid. It is calculated as one-third of the area of the square base multiplied by the vertical height.
What is the formula for the volume of a square pyramid?▼
The formula is V = (1/3) × a² × h, where "a" is the length of one side of the square base and "h" is the vertical height of the pyramid.
What is the difference between height and slant height?▼
The height (h) is the perpendicular distance from the base to the apex. The slant height (s) is the distance from the apex to the midpoint of a base edge. For volume, you must use the vertical height.
How do I find volume if I only have the slant height?▼
You can find the vertical height using the Pythagorean theorem: h = √(s² - (a/2)²), where s is slant height and a is base side.