Geometry - Volumes

The volumes of geometric solids are expressed in terms of cubes which are one unit on a side, such as cubic centimeters or cubic yards. The volume of a rectangular solid (box) whose length, width, and height are l, w, and h is lwh. The volume of a prism or a cylinder is Bh, where B is the area of its base and h its height measured along a line perpendicular to the base. The volume of a pyramid or cone is one third that of a prism or cylinder with the same base and height, that is Bh/3. The volume of a sphere of radius r is 4πr³/3.

It is interesting to note that the volumes of a cylinder, a hemisphere, and a cone having the same base and height are in the simple ratio 3:2:1.