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1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Volume of Composite Solids Stage 6 - Year 12 General Mathematic (HSC)

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2 Volume of a Prism V = A h A Volume A rea of the base h eight h at 90 o to the base. End of Slide

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3 Volume of Prisms V = A h A h 7cm 5cm 2 V = Ah = 5 x 7 = 35 cm 3 End of Slide

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4 Volume of Pyramids & Cones V = A h 1313 A A h h 6cm 2 7cm = x 6 x 7 1313 = 14 cm 3 End of Slide

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5 Volume of a Sphere Volume = r 3 6 400 km Volume = x x 6400 3 = 1 098 066 219 444 = 1 100 000 000 000 km 3 4343 4343 End of Slide

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6 Volume of Composite Solids Example 1 10 2 6 Divide into two rectangles.Calculate the missing sides. 410–6 10–2 8 10x2 4x8 Area = 10x2 + 4x8 = 52 Volume = Ah = 52 x 10 10 = 520 units 3 End of Slide

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7 Volume of Composite Solids Example 2 Cylinder Hemisphere V H = 0.5 x x r 3 4343 = 0.5 x x 5 3 4343 5 cm = 261.8 cm 3 10 cm V C = x r 2 x h = x 5 2 x 10 = 785.4 cm 3 V Total = 261.8 + 785.5 = 1047.3 cm 3 Press End of Show

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A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.

A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.

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