ABSTRACT
This chapter deals with finding volumes of common solids; in engineering it is often important to be able to calculate volume or capacity to estimate, say, the amount of liquid, such as water, oil or petrol, in differing shaped containers. It aims to calculate the volumes and surface areas of cuboids, cylinders, prisms, pyramids, cones and spheres. The volume of any solid is a measure of the space occupied by the solid. The section of wood is a prism whose end comprises a rectangle and a semicircle. The surface area of the sides of a frustum of a pyramid or cone is given by the surface area of the whole pyramid or cone minus the surface area of the small pyramid or cone cut off. The frustum of a pyramid or cone is the portion remaining when a part containing the vertex is cut off by a plane parallel to the base.
