Areas and Volumes I

After working through this chapter you should be able to (1)Calculate the surface areas and volumes of pyramids, cones and spheres.(2)Define frustum and calculate the volumes and surface areas of frusta of pyramids and cones.(3)Calculate the total surface areas and volumes of composite figures.(4)Draw a graph to represent a given irregular area or volume to a suitable scale.(5)List the methods of measuring an irregular area.(6)Calculate an irregular area using the following rules (a) the mid-ordinate rule, (b) the trapezoidal rule, (c) Simpson’s rule.(7)Calculate an irregular volume using the above rules.(8)Give the results to an accuracy consistent with the data used.