AREAS AND VOLUMES - created from Mind Map

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AREA

VOLUME

Regular shape

Area from field notes

Irregular shape

plans

Trapezoidal Rule

Simpson’s Rule

COMPARE .TWO RULE

Area = x {( y1+ y6 )/2+ y2 + y3 + y4 + y5 }

AREA= x/3 [ (y1+ y7) + 2(y3 + y5) + 4(y2 + y4 + y6 ) ]

Graphical

Mechanically

Area ABC = 1/2 (N1+N2)(E2–E1) + 1/2 (N2+N3)(E3–E2) - 1/2 (N1+N3)(E3–E1)

Cuttings with vertical sides

Cuttings with sloping sides

prismodal rule

Longitudinal and Cross-sections

V = d/3 [ A1 + A5 + 2xA3 + 4x(A2+A4) ]

One-level section

. Three-level section

Cross-fall section

D = cs + w + cs = 2cs + w

d /6( A1+ 4 AM + A2 )