Mensuration (AQA GCSE Further Maths): Flashcards

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Mensuration
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What is mensuration?

Measuring geometric figures and calculating areas, perimeters, and volumes

Triangle area formula

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Triangle height requirement

Perpendicular distance from base to opposite vertex

Parallelogram area formula

base×height\text{base} \times \text{height}

Trapezium area formula

12(a+b)h\frac{1}{2}(a+b)h where aa and bb are parallel sides, hh is height

Circumference with diameter

πd\pi d where dd is diameter

Circumference with radius

2πr2\pi r where rr is radius

Circle area formula

πr2\pi r^2 where rr is radius

Diameter to radius relationship

d=2rd = 2r (diameter is twice the radius)

Prism volume formula

Area of cross section ×\times length

Prism characteristic

Has constant cross-section along its length

Examples of prisms

Cuboids, triangular prisms, cylinders

Strategy for composite shapes

Break into simpler shapes, then add or subtract areas

Units in mensuration

Must be consistent throughout calculation; convert if needed

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