Volume & Surface Area: Volume of Pyramid & Cone

Volume is the amount of three-dimensional space occupied by an object. It is measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³).

The volume of a box (rectangular prism) is calculated by multiplying its length, width, and height: V = l × w × h.

Surface area is the total area of all the exterior faces of a 3D shape. It represents how many square units are needed to completely cover the outside of the shape without any overlaps.

The volume of a pyramid is calculated using: $V = \frac{1}{3} B h$, where $B$ is the base area and $h$ is the perpendicular height. For a square base, $B = s^2$.

The volume of a cone is calculated using: $V = \frac{1}{3} \pi r^2 h$, where $r$ is the radius of the circular base and $h$ is the height.