PRISMS Prisms are solids with identical ends. NO YES YES NO NO YES

Volumes of Prisms This is given by V = area X length Example 30m 2.3m2 V = area X length = 2.3 X 30 = 69m3

Example 14cm 5cm ******** Area of triangle = b X h  2 V = area X length = 5 X 2.4  2 = 6 X 14 = 6cm2 = 84cm3

A swimming pool is 30m long, 10m wide, the shallow end is 1m deep and the deep end is 2.5m deep. 1m3 is the same as 1000 litres. How many litres does it take to fill the pool?

Area Area rectangle = 30 x 1 = 30 m2 Area triangle = 30 x 1.5  2 Total area = 52.5m2 Vol = area X width = 52.5 X 10 = 525m3 No. litres = 1000 X 525 = 525000litres.

CYLINDERS Base is a circle. Area of base = r2 Vol = area X height So V = r2h Example d = 12cm so r = 6cm, h = 20cm V = r2h = 3.14 X 6 X 6 X 20 = 2260.8 12cm = 2260cm3 20cm

A tea urn is 50cm high with a diameter of 34cm. Example 34cm A tea urn is 50cm high with a diameter of 34cm. If 1litre =1000cm3 then find its volume in litres. 50cm A mug holds 290mls. How many full mugs can be filled from the urn? ********** NB: 1ml = 1cm3 d = 34 so r = 17 No. mugs = 45400  290 V = r2h = 3.14 X 17 X 17 X 50 = 156.55… = 45373 = 156 full mugs = 45400cm3 ( 1000) = 45.4 litres