Perimeter, Area, and Volume (HSC SSCE Mathematics Standard): Flashcards

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Perimeter, Area, and Volume
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Aerial photographs are used for

Fast, efficient land measurement without site visits

Perimeter

Total distance around boundary of a shape

Formula: Real distance using scale

Real distance = Photo measurement × Scale factor

Area

Surface size of a shape in square units (e.g., m2m^2)

Composite shapes

Shapes made from multiple simple shapes combined

Volume formula for uniform depth water

V=A×hV = A \times h (area × height/depth)

Trapezoidal rule formula

A≈w2(df+dl)A \approx \frac{w}{2}(d_f + d_l)

Trapezoidal rule is used for

Estimating area of irregular shapes with parallel sides

Trapezoidal rule limitation

Gives approximation, not exact answer

Scale ratio expressed as

1:x format (e.g., 1:1613 or 1:3500)

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