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Understanding Perimeter, Area, and Volume: Essential Functional Skills Guide

This guide, presented by Bill Haining, offers a clear explanation of how to calculate perimeter, area, and volume for various shapes. Discover the formulas for calculating the perimeter of polygons and the area of rectangles and triangles, along with the volume of 3-D shapes like cuboids. With practical examples and step-by-step calculations, this resource is designed to enhance your functional skills in mathematics. Whether you're preparing for exams or seeking to improve your understanding of geometric concepts, this guide is invaluable.

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Understanding Perimeter, Area, and Volume: Essential Functional Skills Guide

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  1. Functional Skills L1 Perimeter, Area and VolumePresented by Bill Haining

  2. Perimeter

  3. Perimeter 2 6.3cm 2.1cm 1.2cm 0.8cm Perimeter = 6.3 + 2.1 + 1.2 + 0.8 + 1.2 + 6.3 + 0.8 + 2.1 = 20.8

  4. AREA • 8.5m • 2.1m What is the area of a shape? How much flat space it takes up. How do you calculate the area? Area = length x width = 8.5 x 2.1 = 17.85 m2

  5. Area 2 6.3cm 2.1cm 1.2cm 0.8cm Area = (6.3 x (2.1+0.8)) + (1.2 x 0.8) =(6.3 x 2.9) + (1.2 x 0.8) = 18.27 + 0.96 = 19.23 cm2

  6. Area 3 What is the area of a triangle? A triangle is half of a rectangle so the area of a triangle is: ½ x base x height

  7. Area 4 1.2 m 3.1 m Area = ½ x 3.1 x 1.2 = 1.86 m2

  8. Area 5 1.5 m 1.2 m Area = ½ x 1.2 x 1.5 = 0.9 m2

  9. Volume What is the volume of a 3-D shape? The total amount of space it takes up. How do we calculate the volume of a cuboid? Length x depth x height

  10. Volume 2 1.2 m 1.1 m 1.4 m Volume = 1.2 x 1.4 x 1.1 = 1.848 m3

  11. The End Good Luck

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