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Area and Volume

Area and Volume. Using formulae. Finding Area and Perimeter of a Square or Rectangle. Area is the measure of the amount of space a shape covers Perimeter is the distance all the way around the outside. Area of a rectangle = length x width. Perimeter = 2(length and width). width. length.

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Area and Volume

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  1. Area and Volume Using formulae

  2. Finding Area and Perimeter of a Square or Rectangle • Area is the measure of the amount of space a shape covers • Perimeter is the distance all the way around the outside. Area of a rectangle = length x width Perimeter = 2(length and width) width length

  3. Parallelogram Perpendicular height Length Area of a parallelogram: length x perpendicular height

  4. Trapezium Length a Perpendicular height Length b Area of a trapezium: ( length a + length b) x perpendicular height  (a+b) x h

  5. To Find Area Complicated Shapes • Split them up into basic shapes • Work out the area of each bit separately • The add them altogether

  6. Perimeters of Complicated Shapes • Put a dot in one corner then go around the shape • Write down the length of every side as you go • Even sides that have no length given you need to work out • Keep going until you get to the dot

  7. Areas and Volumes of 3D Shapes Volume of a cuboid • The volume of a 3D shape is a measure of the amount of space it occupies • Typical units of measure are cubic centimetres (cm³) and cubic metres (m³)

  8. Volume of a Cuboid • The volume of a cuboid can be written as length x width x height = l x w x h Or you could think of it as the area of the cross section multiplied by the height

  9. Volume of a Prism • A prism is a 3D shape with the same cross section all along its length • To calculate the volume of the prism you need to find the area of the cross section and multiply it by the height or length Volume of prism = area of cross section x length

  10. Finding the Area of a Prism This shape is a triangular The volume is Area of cross section x length

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