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Volume Of Solids And Liquids Primary 6 Mathematics

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Volume of Solids and Liquids 2 Chapter Learning Outcomes Find an edge of a cuboid/rectangular tank given its volume and the other measurements (2 other edges or area of one face/base) Use calculator to find square root/cube root Find one side of the square base of a cuboid/tank given volume and height Find one edge of a cube/cubical tank given volume Find volume of water and/or height of water level in cuboid/rectangular tank

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Volume of Solids and Liquids 3 Volume Of Solids - Cube How can you find the volume of a cube? Volume = Length Breadth Height Remember that a cube has the same length, breadth and height.

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Volume of Solids and Liquids 4 Volume Of Solids - Cuboid How can you find the volume of a cuboid? Volume = Length Breadth Height

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Volume of Solids and Liquids 5 Finding edge of a cuboid If two of the edges of a cuboid and its volume is given, you can find the value of the third edge.

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Volume of Solids and Liquids 6 Example A cardboard box has a volume of 225 cm 2. If the box has a length of 15 cm and breadth of 3 cm, find its height. Volume = length breadth height 15 cm 3 cm height = 225 cm 2 Therefore: Height = 225 (15 3) = 5 cm

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Volume of Solids and Liquids 7 Finding edge of a cuboid If the base area or area of one face of a cuboid and its volume is given, you can find the value of the third measurement.

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Volume of Solids and Liquids 8 Example A fish tank has a base area of 126 cm 2. If its capacity is litres, find its height. Capacity of tank = litres = 1638 cm 3 Capacity of tank = length breadth height = base area height Therefore, height = capacity base area Height of tank = 1638 126 = 13 cm

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Volume of Solids and Liquids 9 Finding Square Root To find the area of a square, we calculate Side Side. If the area of a square is given, we can find the length of the side using square root.

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Volume of Solids and Liquids 10 Example Find the square roots cm 9 m

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Volume of Solids and Liquids 11 Example A metal tank with a square base has a volume of 3630 cm 2 and a height of 30 cm. What is the length of its base?

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Volume of Solids and Liquids 12 Finding Cube Root To find the volume of a cube, we calculate Edge Edge Edge. If the volume of a cube is given, we can find the length of the edge using cube root.

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Volume of Solids and Liquids 13 Example Find the cube roots m 11 cm

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Volume of Solids and Liquids 14 Example A plastic cube has a volume of 2744 cm 3. Find the length of one edge of the cube.

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Volume of Solids and Liquids 15 Volume Of Liquids We can measure volume of liquids using millilitres (ml) or cubic centimetres (cm 3 ). Using the formulas shown so far, we can solve word problems involving volume of liquids. 1 cm 3 = 1 ml

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Volume of Solids and Liquids 16 Example A cubical fish tank is 1 / 4 - filled with 128 ml of water. What is the length of each edge of the tank?

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Volume of Solids and Liquids 17 Example An empty rectangular tank measuring 50 cm by 20 cm by 16 cm is being filled with water flowing from a tap at 8 litres per minute. How long will it take to fill the tank to its brim?

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Volume of Solids and Liquids 18 Reference - Textbooks Learning Outcomes Find an edge of a cuboid/rectangular tank given its volume and the other measurements (2 other edges or area of one face/base) 6B p. 98–1076B p.56–60 Use calculator to find square root/cube root Find one side of the square base of a cuboid/tank given volume and height Find one edge of a cube/cubical tank given volume Find volume of water and/or height of water level in cuboid/rectangular tank 6B p.110–1156B p.61–68

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