Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004 AND Mathematical Studies Standard Level Peter Blythe, Jim Fensom, Jane Forrest and Paula Waldman de Tokman Oxford University Press, 2012

Distance Between Points in a Solid In any solid, you may be asked to calculate the distance between: two vertices. a vertex and the midpoint of an edge. the midpoints of two lines.

Practice The diagram shows the cuboid ABCDEFGH, where AB = 8 cm, BC = 6 cm and AE = 5 cm. Find the length of: i. AF ii. AC iii. BG iv. AG Find the distance between: i. the midpoint of CG and A ii. the midpoint of AB and the midpoint of CG

Practice In the diagram, ABCD is the rectangular base of a right pyramid with apex P. The sides of the base are 6 cm and 5 cm, and the height of the pyramid PF is 3 cm. Find the length of: i. AC ii. PC iii. PM