Surveying MCQs Ch 10 Area and Volume

Surveying MCQs 
Chapter 10 

Area and Volume

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Surveying MCQs 
Chapter 10 

Area and Volume

Q.1. If 'd' is the constant distance between the sections, then the correct prismoidal formula for volume is

a) d/3 [first area + last area + 4 Σ even area + 2 Σ odd area] ✔

b) d/6 [first area + last area + 2 Σ even area + 4 Σ odd area]

c) d [first area + last area + Σ even area + Σ odd area]

d) d/3 [first area + last area + 2 Σ even area + 4 Σ odd area]

Volume by Trapezoidal Method or End area formula
Volume = [(first area+last area)/2 + reamening area] d

Q.2. If B Is the width of formation, d is the height of the embankment, side slope S : 1, for a highway with no transverse slope, the area of cross-section is:

a) Bd + Sd

b) Bd + Sd²  ✔

c) Bd - S√d

d) 1/2 (Bd + Sd²)

Q.3. Calculate the volume of the embankment (in cubic metre) using trapezoidal method, if the cross sectional area of the three sections of an embankment at an Interval of 30 m are 20 square metres, 40 square metres and 50 square meters. 

a) 1100

b) 2250 ✔

c) 1150

d) 2350

by Trapezoidal Method,
Volume = [(first area+last area)/2 + reamening area]d
d = 30 m
A1 = 20 m²
A2= 40 m²
A3 = 50
∴ Volume = [(20+50)/2 + 40]30 = 2250 m³

Q.4. Which of the following method estimates the best volume of earthwork of an Irregular embankment? 

a) Average ordinate method

b) Mid ordinate method

c) Simpson's method ✔

d) Trapezoidal method

Q.5.In the trapezoidal formula, the line joining the top of the ordinates is assumed to be 

a) Curved

b) Straight ✔

c) Circular

d) None of these

In the Simpson's formula, the line joining the top of the ordinates is assumed to be Parabolic and area is divided in odd numbers

Q.6. In Simpson's formula, the number of ordinates must be 

a) Odd ✔

b) Even

c) Either odd or even

d) None of these

Q.7. The value of the planimeter constant (C) is added only when 

a) The anchor point is inside the figure ✔

b) The anchor point is outside the figure

c) The anchor point is just on the boundary line

d) None of these

Q.8. The vertical distance through which excavated earth is lifted is called 

a) Lead

b) Lift ✔

c) Haulage

d) None of these

Q.9. The graph prepared in order to facilitate proper distribution of excavated earth is known as the 

a) Mass diagram ✔

b) Working diagram

c) Balancing diagram

d) Pantograph

Q.10. Calculate the volume (cubic meter) of earthwork for an embankment of length 30m and width 4m. the mean depth of the embankment is 4m and side slope Is 2 : 1. Using mid sectional area method. 

a) 480

b) 960

c) 1440  ✔

d) 1920