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PRISMS

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. 2.3m 2. V = area X length. = 2.3 X 30. = 69m 3. Example. 14cm. 2.4cm. 5cm. ********. Area of triangle = b X h  2.

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PRISMS

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

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

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

  4. Swimming Pool 10m 30m 1m 2.5m 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?

  5. Area 1m 30m 1.5m Area rectangle = 30 x 1 = 30 m2 Area triangle = 30 x 1.5  2 = 22.5m2 Total area = 52.5m2 Vol = area X width = 52.5 X 10 = 525m3 No. litres = 1000 X 525 = 525000litres.

  6. 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

  7. 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

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