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Geometry Basics: Perimeter, Area, and Volume Explained

Learn how to calculate perimeter, area, and volume for different shapes with detailed examples and formulas. Understand units and measurements for triangles, squares, rectangles, parallelograms, trapeziums, cubes, cuboids, cylinders, and triangular prisms.

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Geometry Basics: Perimeter, Area, and Volume Explained

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  1. Perimeter, Area and Volume

  2. 12cm 6cm 6cm 8cm 6cm Perimeter Add up all the sides of a shape. 12 + 8 + 12 + 8 = 40cm 6 + 6 + 6 = 18cm

  3. 12cm 10cm Area There are different formulae that you need to learn for different shapes. Area is measured in square units. Triangle Area =( base x height ) ÷ 2 10 x 12 = 120 120 ÷ 2 = 60 Answer : 60 cm²

  4. 11cm 8cm 8cm 8cm Area Square and Rectangle Area = length x breadth 11 x 8 = 88 Answer : 88 cm² 8 x 8 = 64 Answer : 64 cm²

  5. 12cm 15cm Area Parallelogram Area = base x perpendicular height 15 x 12 = 180 Answer : 180cm²

  6. a h b 10cm 5cm 12cm Area Trapezium Area = ½ ( a + b ) x h ½ ( 10 + 12 ) x 5 11 x 5 = 55 Answer : 55cm²

  7. 4cm 5cm 5cm 2cm 5cm 5cm Volume Cube and Cuboid Volume is measured in units cubed. Volume = length x breadth x height 5 x 5 x 5 = 125 Answer : 125cm³ 5 x 2 x 4 = 40 Answer : 40cm³

  8. Height = 10cm Radius = 5cm Volume Cylinder Volume = 3.14 x r² x h 3.14 x 5² x 10 3.14 x 5 x 5 x 10 = 785 Answer : 785cm³

  9. 7cm 10cm 5cm Volume Triangular Prism Volume = area of triangle x length ( 5 x 7 ) ÷ 2 x 10 = 175 Answer : 175 cm³

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