Test 24 - Mid-Ordinate Method of Earthwork

Question 1 ప్రశ్న 1

Which expression correctly represents the mid-ordinate or mid-sectional area method for estimating earthwork volume over several longitudinal intervals of potentially unequal lengths?

A Multiply the sum of all end-sectional areas by the total length without averaging or weighting. B Multiply the arithmetic mean of the first and last sectional areas by the total length, ignoring intermediate sections. C Calculate the representative mid-sectional area for each interval, multiply it by that interval's length, and add the resulting volumes. D Multiply the sum of all excavation depths directly by the formation width without considering interval lengths.

Question 2 ప్రశ్న 2

Two consecutive earthwork survey stations are located at chainages 0+045 and 0+095. At which chainage should the representative midpoint cross section be taken for the mid-ordinate method?

A 0+065. B 0+070. C 0+075. D 0+090.

Question 3 ప్రశ్న 3

A road embankment has a formation width of 8.00 m and symmetrical side slopes of 1.5 horizontal to 1 vertical. Its filling heights at the ends of a 20.00 m interval are 1.20 m and 2.00 m. Assuming level transverse ground and linear variation of filling height, what volume is obtained by the mid-sectional area method?

A 320.00 m3. B 300.80 m3. C 360.00 m3. D 332.80 m3.

Question 4 ప్రశ్న 4

A straight excavation has a constant width of 5.00 m and vertical side boundaries. The cutting depths at two consecutive stations are 0.80 m and 1.60 m, with a longitudinal spacing of 30.00 m. Assuming linear variation of depth, what is the volume by the mid-sectional area method?

A 180 m3. B 150 m3. C 240 m3. D 90 m3.

Question 5 ప్రశ్న 5

A road cutting over level transverse ground has a formation width of 6.00 m, a representative midpoint depth of 2.00 m and symmetrical side slopes of 2 horizontal to 1 vertical. If the longitudinal interval is 25.00 m, what earthwork volume is obtained by the mid-sectional area method?

A 300 m3. B 400 m3. C 500 m3. D 600 m3.

Question 6 ప్రశ్న 6

The formation width of an embankment varies linearly from 7.00 m to 9.00 m over a 40.00 m interval. The filling depth remains 1.00 m throughout, and both side slopes are 1 horizontal to 1 vertical over level transverse ground. Using the midpoint width, what volume is obtained by the mid-sectional method?

A 320 m3. B 360 m3. C 400 m3. D 440 m3.

Question 7 ప్రశ్న 7

Three successive earthwork intervals have lengths of 20 m, 35 m and 15 m. Their corresponding measured MIDPOINT cross-sectional areas are 12 m2, 16 m2 and 10 m2 respectively. What is the total earthwork volume by the mid-ordinate method?

A 860 m3. B 900 m3. C 980 m3. D 950 m3.

Question 8 ప్రశ్న 8

A road embankment has a constant formation width of 6.00 m and symmetrical side slopes of 1 horizontal to 1 vertical. The filling depths at three consecutive stations are 1.00 m, 2.00 m and 3.00 m, with 20.00 m between adjacent stations. Assuming level transverse ground and linear variation of depth within each reach, what is the total volume by the mid-sectional method?

A 650 m3. B 620 m3. C 700 m3. D 560 m3.

Question 9 ప్రశ్న 9

A cutting cross section has a formation width of 8.00 m and a midpoint depth of 2.00 m on level transverse ground. The left side slope is 1 horizontal to 1 vertical, while the right side slope is 2 horizontal to 1 vertical. If the interval length is 10.00 m, what volume is obtained by the mid-sectional method?

A 200 m3. B 220 m3. C 240 m3. D 260 m3.

Question 10 ప్రశ్న 10

A 5.00 m wide vertical-sided earthwork strip extends over a longitudinal length of 30.00 m. At the first station, the ground is 0.60 m ABOVE the formation, while at the last station it is 0.90 m BELOW the formation. Both profiles vary linearly. Applying the midpoint method separately to cutting and filling after locating the zero-depth point, what are their respective volumes?

A 22.50 m3 cutting and 27.00 m3 filling. B 9.00 m3 cutting and 40.50 m3 filling. C 18.00 m3 cutting and 40.50 m3 filling. D 18.00 m3 cutting and 27.00 m3 filling.

Question 11 ప్రశ్న 11

A surveyed road-cutting reach has a measured midpoint cross-sectional area of 24.00 m2. The corresponding longitudinal interval is 35.00 m. Assuming the mid-sectional area method is specified for estimating the volume, what is the earthwork quantity?

A 840 m3. B 720 m3. C 900 m3. D 760 m3.

Question 12 ప్రశ్న 12

At the first station of a road cutting, the ground level is RL 101.30 m and formation level is RL 100.50 m. At the second station, the ground level is RL 102.40 m and formation level is RL 100.80 m. The stations are 25 m apart, and both longitudinal profiles vary linearly. For a formation width of 6 m and symmetrical cutting slopes of 1 horizontal to 1 vertical over level transverse ground, what is the mid-sectional volume?

A 180 m3. B 200 m3. C 240 m3. D 216 m3.

Question 13 ప్రశ్న 13

At the exact midpoint of a 20.00 m long road-cutting interval, the surveyed ground level is RL 103.75 m and the formation level is RL 102.25 m. The formation width is 8.00 m, and symmetrical cutting side slopes are 1 horizontal to 1 vertical on level transverse ground. What volume is obtained using this ACTUALLY SURVEYED midpoint section?

A 240 m3. B 285 m3. C 270 m3. D 300 m3.

Question 14 ప్రశ్న 14

An earthwork cutting has a bottom formation width of 10.00 m and a representative midpoint depth of 2.00 m. The transverse ground is level, and both cutting slopes are 0.5 horizontal to 1 vertical. What is the mid-sectional earthwork volume for a 50.00 m reach?

A 1,000 m3. B 1,050 m3. C 1,100 m3. D 1,200 m3.

Question 15 ప్రశ్న 15

A contractor prepares an earthwork computation using two consecutive reaches. The first reach is 15 m long with a midpoint sectional area of 18 m2, and the second reach is 25 m long with a midpoint sectional area of 22 m2. What is the combined mid-ordinate volume?

A 820 m3. B 800 m3. C 860 m3. D 900 m3.

Question 16 ప్రశ్న 16

A symmetrical embankment on level transverse ground has a formation width of 8.00 m, side slopes of 1 horizontal to 1 vertical and end filling depths of 1.00 m and 3.00 m over a 20.00 m reach. The midpoint method gives 400 m3, while the average-end-area method gives 420 m3. By how much does the average-end-area result exceed the midpoint result?

A 0 m3. B 10 m3. C 30 m3. D 20 m3.

Question 17 ప్రశ్న 17

A road embankment has a representative midpoint filling depth of 2.00 m and symmetrical side slopes of 1.5 horizontal to 1 vertical over level transverse ground. For a 40.00 m longitudinal interval, what volume is contributed by the TWO SIDE-SLOPE TRIANGULAR PORTIONS ALONE?

A 160 m3. B 240 m3. C 320 m3. D 400 m3.

Question 18 ప్రశ్న 18

An embankment has formation widths of 6.00 m and 10.00 m and filling depths of 1.00 m and 2.00 m at the ends of a 20.00 m interval. Both width and depth vary linearly, with symmetrical side slopes of 1 horizontal to 1 vertical over level transverse ground. What volume is estimated using the midpoint values of width and depth?

A 260 m3. B 270 m3. C 285 m3. D 300 m3.

Question 19 ప్రశ్న 19

Four consecutive earthwork intervals are each 25.00 m long. The representative midpoint cross-sectional areas are 12 m2, 18 m2, 15 m2 and 21 m2 respectively. What is the total volume using the mid-ordinate method?

A 1,650 m3. B 1,550 m3. C 1,750 m3. D 1,800 m3.

Question 20 ప్రశ్న 20

A 5.00 m wide vertical-sided excavation has cutting depths of 0.50 m and 1.50 m at two stations 15.00 m apart. Assuming linear variation of depth and a constant width, what volume is obtained using the mid-sectional area method?

A 60 m3. B 90 m3. C 100 m3. D 75 m3.

Question 21 ప్రశ్న 21

The estimated earthwork volume for an interval is 450 m3 by the mid-sectional method. If the accepted representative midpoint cross-sectional area is 15 m2, what must be the interval length?

A 20 m. B 30 m. C 25 m. D 40 m.

Question 22 ప్రశ్న 22

An embankment has a constant filling depth of 2.00 m, symmetrical side slopes of 1 horizontal to 1 vertical and level transverse ground. Its formation width varies LINEARLY from 6.00 m to 10.00 m along a 30.00 m interval. What is the midpoint-method volume, and how does it compare with the exact geometric volume under these assumptions?

A 480 m3, smaller than the exact volume. B 720 m3, greater than the exact volume. C 600 m3, equal to the exact geometric volume. D 620 m3, equal to the exact geometric volume.

Question 23 ప్రశ్న 23

A road embankment has a formation width of 8.00 m, symmetrical side slopes of 1 horizontal to 1 vertical and end filling depths of 1.00 m and 3.00 m over 30.00 m. The depth varies linearly, giving end areas of 9 m2 and 33 m2 and a midpoint area of 20 m2. How much GREATER is the prismoidal volume than the midpoint-method volume?

A 10 m3. B 0 m3. C 20 m3. D 30 m3.

Question 24 ప్రశ్న 24

A road embankment is divided into four equal longitudinal intervals of 20.00 m each. The MIDPOINT filling depths are 0.50 m, 1.00 m, 1.50 m and 2.00 m respectively. For all intervals, formation width is 6.00 m, symmetrical side slopes are 1 horizontal to 1 vertical, and transverse ground is level. What is the combined mid-sectional volume?

A 700 m3. B 725 m3. C 775 m3. D 750 m3.

Question 25 ప్రశ్న 25

A road embankment has a constant formation width of 8.00 m and symmetrical side slopes of 1 horizontal to 1 vertical over level transverse ground. Four consecutive stations have filling depths of 1.00 m, 2.00 m, 2.40 m and 1.60 m. The lengths of the three successive intervals are 20.00 m, 30.00 m and 25.00 m respectively. Assuming linear depth variation within each interval, what is the TOTAL earthwork volume by the mid-sectional area method?

A 1,450.00 m3. B 1,458.20 m3. C 1,468.20 m3. D 1,510.00 m3.

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