Areas and Volumes I

Abstract

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.