Areas & VolumesQuantities from ordinates and sections.Civil EngineeringAreas come from ordinates at a regular spacing;volumes come from areas at a regular chainage.Simpson: d/3 (ends + 4 odds + 2 evens)Simpson's ruleNeeds even strip countOdd ordinate count.Trapezoidal ruleAny number of stripsSlightly less exact.End area, two sectionsV = L(A₁ + A₂)/2Overstates on curves.THE COMMON MISTAKEUsing Simpson on an odd strip countEven strips, odd ordinatesSimpson's rule pairs strips, so it needs an even number of them. Deal with aleftover strip by the trapezoidal rule instead of forcing the count.Educational reference. Earthwork quantities also need bulking andshrinkage factors from the contract specification.Areas & Volumeslearnposters.com
Areas & Volumes — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Areas & Volumes poster

The rule, 3 worked examples, and the mistake everyone makes.

Educational reference. Earthwork quantities also need bulking and shrinkage factors from the contract specification.

Questions about the Areas & Volumes poster

What’s on the Areas & Volumes poster?
The rule, 3 worked examples, and the mistake everyone makes. Areas come from ordinates at a regular spacing; volumes come from areas at a regular…; Simpson: d/3 (ends + 4 odds + 2 evens); Simpson's rule = Needs even strip count; Trapezoidal rule = Any number of strips; End area, two sections = V = L(A₁ + A₂)/2; Common mistake: Using Simpson on an odd strip count → Even strips, odd ordinates. Educational reference. Earthwork quantities also need bulking and shrinkage factors from the contract specification.
Who is the Areas & Volumes poster for?
Areas & Volumes belongs to the Civil Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning surveying can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Areas & Volumes poster?
Checking an earthworks quantity, or measuring an irregular area. A wall chart earns its place by being glanceable from where the work is happening, so Areas & Volumes belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with Areas & Volumes?
Bearings, Contours and Setting Out a Curve sit alongside Areas & Volumes in the Civil Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.BearingsContoursSetting Out a Curve
Is the Areas & Volumes poster free to download and print?
Yes. Areas & Volumes downloads as a free PDF with no account, no email and no watermark, like everything else in the Civil Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Areas & Volumes poster print at?
Areas & Volumes is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Areas & Volumes loses nothing.Printing guide

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