Area and volume computations

Simpson’s rule assumes that boundary between the ordinates are parabolic arcs.

• True

• False

Find the area of the traverse using Simpson’s rule if d= 12 m and the values of ordinates are 2.25m, 1.46m, 3.23m, 4.46m.

• 116.88 sq. m

• 161.88 sq. m

• 611.88 sq. m

• 169.54 sq. m

Prismoidal rule is also known as__________

• Simpson’s rule

• Trapezoidal rule

• Curvature rule

• Euler’s rule

Calculate the total volume if number of sides = 3 and d = 2 m. The values of area can be given as 117.98 sq. m, 276.54 sq. m and 98.43 sq. m.

• 1170.26 cu. m

• 1710.26 cu. m

• 1107.26 cu. m

• 117.26 cu. m

Calculate the area by mid-ordinate rule if the value of d = 2m and the mid ordinates are given as 24.69m, 42.96 m, 26.74m.

• 188.87 sq. m

• 881.78 sq. m

• 188.78 sq. m

• 198.78 sq. m

Among the area calculation methods, which is more accurate?

• Area by co-ordinates

• Area by Simpson’s rule

• Area by trapezoidal rule

• Area by offsets

The prismoidal formula is used for the calculation of__________

• Perimeter

• Traverse

• Volume

• Area

There is limitations of ordinates in trapezoidal rule

• True

• False

Calculate the area of third section, if the ordinate are 76.32 m and 24.56 m with are at a distance of 4 m.

• 210.11 sq. m

• 201.67 sq. m

• 201.76 sq. m

• 210.76 sq. m

Which of the following indicates the formula for Simpson’s rule?

• Δ = (d/3)*((O₀+O_n) + 4*(O₁+O₃+……..) + 2*(O₂+O₄+……….))

• Δ = (d/3)*((O₀+O_n) + 2*(O₁+O₃+……..) + 2*(O₂+O₄+……….))

• Δ = (d/3)*((O₀+O_n) + 4*(O₁+O₃+……..) + 2*(O₂+O₄+……….))

• Δ = (d/3)*((O₀+O_n) + 2*(O₁+O₃+……..) + 4*(O₂+O₄+……….))