Area Computation: Regular Straight Boundaries

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Questions and Answers

What is the purpose of the Prismoidal correction in earthwork volume calculation?

  • To calculate the average end area of sections
  • To determine the volume of a cross-section
  • To account for the irregular shape of the terrain
  • To correct for the error caused by using a linear approximation (correct)

What is the formula used to calculate the volume of earthwork between two sections?

  • Trapezoidal rule
  • Prismoidal formula (correct)
  • Simpson's 1/3 rule
  • Average end area method

Which method is used to calculate the volume of earthwork by dividing the area into a series of trapezoids?

  • Prismoidal formula
  • End-area method
  • Simpson's 1/3 rule
  • Trapezoidal rule (correct)

What is the method of calculating the average end area of two sections to get the volume?

<p>End-area method (A)</p>
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What is the purpose of the Trapezoidal rule in earthwork volume calculation?

<p>To divide the area into a series of trapezoids (A)</p>
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Which of the following is NOT a method of calculating the volume of earthwork?

<p>Level cross-section (B)</p>
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What is the formula used to calculate the area enclosed by regular straight boundaries?

<p>A = (x1y2 + x2y3 + x3y1) / 2 (A)</p>
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What is the name of the rule used to calculate the area of irregular figures by dividing the area into trapezoids?

<p>Trapezoidal rule (B)</p>
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What is the purpose of the prismoidal correction in earthwork volume calculation?

<p>To correct for the error in the prismoidal formula (B)</p>
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What is the formula used to calculate the area in the trapezoidal rule?

<p>A = (h1 + h2) / 2 * b (B)</p>
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What is the name of the rule used to calculate the volume of earthwork by dividing the prism into a series of trapezoids?

<p>Prismoidal rule (C)</p>
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What is the purpose of the end-areas rule in earthwork volume calculation?

<p>To calculate the average end-areas of a prism (C)</p>
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What is the formula for Simpson's one-third rule?

<p>A = d(ℎ1 + ℎ𝑛 + 2∑ℎ 𝑜𝑑𝑑 + 4∑ℎ 𝑒𝑣𝑒𝑛) (B)</p>
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What is the formula for the trapezoidal rule?

<p>A = d(ℎ1 + ℎ𝑛) + ∑ℎ (A)</p>
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What is the condition for using Simpson's one-third rule?

<p>The number of intercepts must be even (D)</p>
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What is the formula for area computation using the coordinate method?

<p>A = (x1y1 + x2y3 + ... + xn-1yn + xn y1) - (x2y1 + x3y2 + ... + yn-1xn + x1yn) (A)</p>
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What is the purpose of Simpson's one-third rule?

<p>To calculate the area enclosed by irregular boundaries (A)</p>
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What is the purpose of the trapezoidal rule?

<p>To calculate the area enclosed by irregular boundaries (B)</p>
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