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 differently shaped containers. A prism is a solid with a constant cross-section and with two ends parallel. The shape of the end is used to describe the prism. A cuboid is a solid figure bounded by six rectangular faces, all angles are right angles and opposite faces are equal. A cube is a square prism. A cylinder is a circular prism. Total surface area means the curved surface area plus the area of the two circular ends. Notice that the volume is given by the area of the end multiplied by the length l. In fact, the volume of any shaped prism is given by the area of an end multiplied by the length. A cone is a circular-based pyramid.