Area Computation: Regular Straight Boundaries

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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?

End-area method Signup and view all the answers

What is the purpose of the Trapezoidal rule in earthwork volume calculation?

To divide the area into a series of trapezoids Signup and view all the answers

Which of the following is NOT a method of calculating the volume of earthwork?

Level cross-section Signup and view all the answers

What is the formula used to calculate the area enclosed by regular straight boundaries?

A = (x1y2 + x2y3 + x3y1) / 2 Signup and view all the answers

What is the name of the rule used to calculate the area of irregular figures by dividing the area into trapezoids?

Trapezoidal rule Signup and view all the answers

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

To correct for the error in the prismoidal formula Signup and view all the answers

What is the formula used to calculate the area in the trapezoidal rule?

A = (h1 + h2) / 2 * b Signup and view all the answers

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 Signup and view all the answers

What is the purpose of the end-areas rule in earthwork volume calculation?

To calculate the average end-areas of a prism Signup and view all the answers

What is the formula for Simpson's one-third rule?

A = d(ℎ1 + ℎ𝑛 + 2∑ℎ 𝑜𝑑𝑑 + 4∑ℎ 𝑒𝑣𝑒𝑛) Signup and view all the answers

What is the formula for the trapezoidal rule?

A = d(ℎ1 + ℎ𝑛) + ∑ℎ Signup and view all the answers

What is the condition for using Simpson's one-third rule?

The number of intercepts must be even Signup and view all the answers

What is the formula for area computation using the coordinate method?

A = (x1y1 + x2y3 + ... + xn-1yn + xn y1) - (x2y1 + x3y2 + ... + yn-1xn + x1yn) Signup and view all the answers

What is the purpose of Simpson's one-third rule?

To calculate the area enclosed by irregular boundaries Signup and view all the answers

What is the purpose of the trapezoidal rule?