Volume of Pyramids and Cones

The volume of a pyramid is given by the formula: V = (1/3) * base area * height.

The volume of a cone is given by the formula: V = (1/3) * π * r² * h, where r is the radius of the base and h is the height.

The base area of a rectangular pyramid is calculated by multiplying the length and width of the base: Base Area = length * width.

The value of π (Pi) is approximately 3.14.

V = (1/3) * π * (3 cm)² * (5 cm) = 15.7 cm³ (using π ≈ 3.14).

The height of a pyramid is directly proportional to its volume; as height increases, volume increases if the base area remains constant.

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic feet (ft³).

The volume of a cone is one-third the volume of a cylinder with the same base and height.

V = (1/3) * 20 cm² * 9 cm = 60 cm³.

The '1/3' in the volume formulas indicates that both pyramids and cones occupy one-third of the volume of a prism or cylinder with the same base area and height.