18 Questions
What is the purpose of the Prismoidal correction in earthwork volume calculation?
To correct for the error caused by using a linear approximation
What is the formula used to calculate the volume of earthwork between two sections?
Prismoidal formula
Which method is used to calculate the volume of earthwork by dividing the area into a series of trapezoids?
Trapezoidal rule
What is the method of calculating the average end area of two sections to get the volume?
End-area method
What is the purpose of the Trapezoidal rule in earthwork volume calculation?
To divide the area into a series of trapezoids
Which of the following is NOT a method of calculating the volume of earthwork?
Level cross-section
What is the formula used to calculate the area enclosed by regular straight boundaries?
A = (x1y2 + x2y3 + x3y1) / 2
What is the name of the rule used to calculate the area of irregular figures by dividing the area into trapezoids?
Trapezoidal rule
What is the purpose of the prismoidal correction in earthwork volume calculation?
To correct for the error in the prismoidal formula
What is the formula used to calculate the area in the trapezoidal rule?
A = (h1 + h2) / 2 * b
What is the name of the rule used to calculate the volume of earthwork by dividing the prism into a series of trapezoids?
Prismoidal rule
What is the purpose of the end-areas rule in earthwork volume calculation?
To calculate the average end-areas of a prism
What is the formula for Simpson's one-third rule?
A = d(ℎ1 + ℎ𝑛 + 2∑ℎ 𝑜𝑑𝑑 + 4∑ℎ 𝑒𝑣𝑒𝑛)
What is the formula for the trapezoidal rule?
A = d(ℎ1 + ℎ𝑛) + ∑ℎ
What is the condition for using Simpson's one-third rule?
The number of intercepts must be even
What is the formula for area computation using the coordinate method?
A = (x1y1 + x2y3 + ... + xn-1yn + xn y1) - (x2y1 + x3y2 + ... + yn-1xn + x1yn)
What is the purpose of Simpson's one-third rule?
To calculate the area enclosed by irregular boundaries
What is the purpose of the trapezoidal rule?
To calculate the area enclosed by irregular boundaries
Solve for the area enclosed by regular straight boundaries using the cross-multiplication method. Learn how to calculate the area by finding the sum of A1 and A2.
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