Section 10 - Geometry Measures

Tackle perimeter, area, surface area, and volume problems with conversions and compound shapes.

Chapters 10

Compound shapes, prisms, cylinders + conversions.

Time invested 7.5 hrs

Approximate guided learning.

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Start with Chapter 10.1 to begin this section.

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Chapter 10.1

Perimeter of compound shapes

Break shapes into sections to sum their boundaries.

40 min Start
Chapter 10.2

Area of compound shapes

Partition complex figures to calculate total area.

45 min Start
Chapter 10.3

Area of parallelograms

Use base × height strategies and tiling arguments.

40 min Start
Chapter 10.4

Area of trapeziums

Apply the average-base formula to trapezia.

40 min Start
Chapter 10.5

Surface area of cuboids

Sum the areas of rectangles on 3D nets.

40 min Start
Chapter 10.6

Surface area of prisms

Generalise surface area by combining bases and rectangles.

45 min Start
Chapter 10.7

Volume of cuboids

Use length × width × height and real-world contexts.

40 min Start
Chapter 10.8

Volume of prisms

Find base area first, then scale by length.

45 min Start
Chapter 10.9

Volume of cylinders

Combine circle area knowledge with prism reasoning.

45 min Start
Chapter 10.10

Converting area & volume units

Switch between cm²/m² or cm³/m³ accurately.

40 min Start

Next steps

Need more transformation practice? Head back to Section 9, or continue forward into Section 11 for statistics and probability.