Volume of Pyramids Formula
Ever wonder how to calculate the space inside a pyramid? The volume of any pyramid can be found using the formula V = ⅓Bh, where B is the area of the base and h is the height of the pyramid.
For rectangular pyramids, first find the base area using B = L × W. Then multiply by the height and divide by 3. For example, a rectangular pyramid with a 13 cm × 6 cm base and 14 cm height has a base area of 78 cm² and a volume of 364 cm³.
Square pyramids follow the same formula, but the base area is B = s² where s is the side length. A square pyramid with a 22 m × 22 m base and 35 m height has a base area of 484 m² and a volume of 5,646.6 m³.
💡 Remember that the height of a pyramid is always measured perpendicular to the base, not along the slant!
Working with these formulas becomes easier with practice. Try calculating the volume of a rectangular pyramid with base dimensions 17 ft × 32 ft and height 24 ft (answer: 4,352 ft³) or a square pyramid with 15 in sides and 19 in height (answer: 1,425 in³).
