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

Volumes of 3D Solids The volume of a solid is the amount of space it occupies. Volume is measured in cubic units, cm 3, m 3, etc. – Type 1: Volumes of prisms – only plane faces In order to determine the volume of a prism you need to know: – the area of the cross-section of the prism (the end face) – The height (distance between the two faces)

Volumes of 3D Solids Volume of a prism: V = Area of Cross-Section x Height Cross-Section Height

Volume Units = 10 mm × 10 mm × 10 mm = 1cm × 1cm × 1cm = 1000 mm 3 1cm 3 Recall Yup, metric conversions

kilo-hd-meterdcenti-milli- 1 cm mm 3 1 m cm 3 Move the decimal 3 times as far. Recall Volume Units

Convert: 1) cm 3 to m 3 2) mm 3 to cm 3 Practice

Calculate the volume of: Practice

A box has a square base and its height is 12 cm. If the volume of the box is 867 cm 3, find its length. Practice