Edexcel IGCSE·Mathematics 4MA1
Volume And Surface Area
Key knowledge — Mensuration
Formulas & equations
Area of triangle = ½ × base × height = ½ab sin CArea of circle = πr²Circumference = 2πr = πdArea of trapezium = ½(a+b)hVolume of prism = cross-section area × lengthVolume of cylinder = πr²hVolume of cone = ⅓πr²hVolume of sphere = (4/3)πr³Volume of pyramid = ⅓ × base area × heightCurved surface area of cone = πrl (l = slant height)Surface area of sphere = 4πr²
Key facts & rules
- For composite shapes: split into simple shapes, calculate each area/volume separately, then add (or subtract for holes).
- Units: 1 m² = 10 000 cm²; 1 m³ = 1 000 000 cm³.
- Slant height of cone: l = √(r² + h²).
Volume and Surface Area
33 Edexcel IGCSE 4MA1 past paper questions on volume and surface area — Foundation and Higher, with mark schemes.
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