Volume of prisms and cylinders Mathematics Volume of prisms and cylinders

Lesson Objectives The aim of this powerpoint is to help you… to learn and use the formula for finding the volume of a prism to learn and use the formula for finding the volume of a cylinder

Dimensions REMEMBER: ADDING distances, areas or volumes together makes longer distances, bigger areas or bigger volumes You have to MULTIPLY dimensions or distances together to get areas or volumes As area is already 2D, you can find a volume by multiplying an area by another perpendicular dimension

Volume of Prisms The volume of a prism is the area of its cross section (i.e. the shape that goes through the whole shape and gives the prism its name) multiplied by its height (or length) V = Ah To find the area of the cross section you will need to recall how to find the area of rectangles, triangles and rectilinear shapes. Area length Area height

Volume of Cylinders V V A h πr² h A cylinder is a special type of prism – a circular prism. You use the same formula but ‘A’ (the area) can be replaced by the formula for the area of a circle. V = Ah  V = πr²h radius length radius height V V A h πr² h

Quick Practice Find the volume of this prism and cylinder… 3m 20cm²

Solutions… Volume = area of cross section × height Volume = 20cm² × 6cm = 120cm³ 3m 20cm² 6cm 9m Volume = (3.14 × 3m × 3m) × 9m = 254.34m³

What next? Print out the notes called PAV5b-VolumeP. Read through them and make sure you answer any questions. Work through the MyMaths lesson and its online homework called Volume of Prisms found at: http://app.mymaths.co.uk/336-resource/volume-of-prisms http://app.mymaths.co.uk/336-homework/volume-of-prisms Now work through the MyMaths lesson and its online homework called Volume of Cylinders found at: http://app.mymaths.co.uk/337-resource/volume-of-cylinders http://app.mymaths.co.uk/337-homework/volume-of-cylinders Save and complete the worksheet called VolP-S1.xlsx Now prepare a revision sheet for your Geometry 2 assessment.