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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

GCSE Mathematics Problem Solving Shape and Measure Higher Tier. Helping Hand. A company needs a container that is a cuboid and has a base of area 1m², to hold 6000 litres of water. a) Find the height of the cuboid .

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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

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  1. GCSE Mathematics Problem Solving Shape and Measure Higher Tier

  2. Helping Hand A company needs a container that is a cuboidand has a base of area 1m², to hold 6000 litres of water. a) Find the height of the cuboid. b) The company also need a container that is sphere and that will hold a third of the water of the cuboid. What is the radius of the sphere? • Find the volume of the water. • (a) Use the formula for the volume of the container to find the containers height. • (b) Use the formula for the volume of a sphere to find the radius of the sphere.

  3. Answer (a) Volume of the water 1 litre = 1 000cm³ 6,000 litre = 6,000,000 cm³ Area of the base 1m = 100cm 1m²= 100cm x 100cm 1m² = 10,000cm² Volume = Area of the base x height 6,000,000 = 10,000 x height 6,000,000 ÷ 10,000 = height 600cm = height 100 cm = 1 m Height = 6m

  4. Answer b) Volume of the sphere 6,000 ÷ 3 = 2,000 litre 2,000 litre = 2,000,000 cm³ Change the subject of the formula to find r. 78.16 cm = r

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