Pyramid Volume Calculator
Calculate the volume of a pyramid using base area and height. Works for square, rectangular, and triangular pyramids. Volume = (1/3) × base area × height.
Formula
V = (1/3) × base area × height
- Base area: For square base, use side²; for rectangle use length × width; for triangle use (1/2) × base × height
- Height: Perpendicular distance from base to apex
- The 1/3 factor is key: a pyramid holds 1/3 the volume of a prism with same base and height
- Works for all pyramid types (square, rectangular, triangular, etc.)
Example
Inputs
- Base Area (length²): 100
- Height (length): 10
Base area 100 (e.g. 10×10 square), height 10: Volume = (1/3) × 100 × 10 = 333.33 cubic units.
Frequently asked questions
How is pyramid volume different from prism volume?
Pyramid has 1/3 the volume of a prism: V_pyramid = (1/3)Bh vs V_prism = Bh (same base and height).
What units should I use?
Base area in length² (cm², m², ft²); height in length units (cm, m, ft). Volume result will be in length³.