Test 25 - Mean Sectional Area Method

Question 1 ప్రశ్న 1

Which procedure correctly represents the mean sectional area method of computing earthwork volume between two consecutive cross sections?

A Multiply the area of the larger end section by the interval length. B Find the arithmetic mean of the two end-sectional areas and multiply it by the distance between the sections. C Find the mean cutting depth and multiply it directly by the interval length without determining sectional area. D Multiply the midpoint sectional area by the interval length irrespective of the two end-sectional areas.

Question 2 ప్రశ్న 2

Two consecutive road-cutting sections have cross-sectional areas of 14 m2 and 26 m2. If the distance between the sections is 35 m, what is the estimated cutting volume by the mean sectional area method?

A 560 m3. B 630 m3. C 700 m3. D 910 m3.

Question 3 ప్రశ్న 3

A road embankment on level transverse ground has a constant formation width of 7 m and symmetrical side slopes of 1.5 horizontal to 1 vertical. The filling heights at two consecutive sections are 1 m and 2 m, and their spacing is 24 m. What volume is obtained by the MEAN SECTIONAL AREA method, using the complete area of each end section?

A 342 m3. B 333 m3. C 360 m3. D 348 m3.

Question 4 ప్రశ్న 4

Cross-sectional areas at three consecutive chainages are 10 m2, 16 m2 and 22 m2. The spacing between successive sections is uniformly 25 m. What is the total earthwork volume by the mean sectional area method?

A 650 m3. B 750 m3. C 950 m3. D 800 m3.

Question 5 ప్రశ్న 5

The cross-sectional areas of an earthwork alignment at chainages 0+000, 0+020, 0+055 and 0+075 are 12 m2, 20 m2, 14 m2 and 18 m2 respectively. Using the mean sectional area method with ACTUAL chainage intervals, what is the total volume?

A 1,180 m3. B 1,235 m3. C 1,275 m3. D 1,350 m3.

Question 6 ప్రశ్న 6

A railway embankment has end-sectional areas of 18 m2 and 30 m2 over a longitudinal length of 40 m. What volume is estimated by the mean sectional area method?

A 960 m3. B 840 m3. C 1,200 m3. D 720 m3.

Question 7 ప్రశ్న 7

An earthwork reach has end-sectional areas of 16 m2 and 24 m2. If its volume calculated by the mean sectional area method is 1,200 m3, what is the distance between the sections?

A 40 m. B 50 m. C 60 m. D 75 m.

Question 8 ప్రశ్న 8

Five consecutive earthwork cross sections have areas of 8 m2, 14 m2, 20 m2, 12 m2 and 16 m2. The four intervals between them are each 30 m long. What is the total volume by the mean sectional area method?

A 1,620 m3. B 1,680 m3. C 1,800 m3. D 1,740 m3.

Question 9 ప్రశ్న 9

Three successive cross sections have areas of 8 m2, 12 m2 and 24 m2 at chainages 0+000, 0+020 and 0+050 respectively. What is the total earthwork volume by the mean sectional area method?

A 680 m3. B 740 m3. C 800 m3. D 900 m3.

Question 10 ప్రశ్న 10

A canal excavation has a uniform cross-sectional area of 21 m2 throughout a straight 75 m reach. What volume is obtained by the mean sectional area method?

A 1,475 m3. B 1,525 m3. C 1,575 m3. D 1,625 m3.

Question 11 ప్రశ్న 11

A road embankment has a constant formation width of 6 m and symmetrical side slopes of 1 horizontal to 1 vertical on level transverse ground. The filling heights at two consecutive sections are 1 m and 2 m, and the section spacing is 30 m. What volume is obtained by the mean sectional area method?

A 345 m3. B 337.5 m3. C 360 m3. D 375 m3.

Question 12 ప్రశ్న 12

A symmetrical road cutting on level transverse ground has a formation width of 10 m and side slopes of 1.5 horizontal to 1 vertical. Its cutting depths at two successive cross sections are 1.2 m and 2.4 m, with an interval length of 25 m. What is the estimated cutting volume by the mean sectional area method?

A 540 m3. B 571.5 m3. C 600 m3. D 585 m3.

Question 13 ప్రశ్న 13

A road cutting has a formation width of 8 m and unequal side slopes of 1 horizontal to 1 vertical on the left and 2 horizontal to 1 vertical on the right. The cutting depths at two sections are 1 m and 2 m on level transverse ground. If the sections are 20 m apart, what is the volume by the mean sectional area method?

A 300 m3. B 315 m3. C 330 m3. D 345 m3.

Question 14 ప్రశ్న 14

Two consecutive excavation sections have trapezoidal geometries. The first has a bottom width of 6 m, top width of 10 m and depth of 2 m; the second has a bottom width of 6 m, top width of 14 m and depth of 3 m. If their longitudinal spacing is 40 m, what is the mean-sectional-area volume?

A 800 m3. B 880 m3. C 920 m3. D 1,000 m3.

Question 15 ప్రశ్న 15

The sectional areas at two consecutive stations are 14.5 m2 and 21.5 m2. Their spacing is 24 m. What earthwork volume is obtained by the mean sectional area method?

A 432 m3. B 408 m3. C 456 m3. D 468 m3.

Question 16 ప్రశ్న 16

At the beginning of a 20 m earthwork interval, the cross-sectional area is zero, while the area at the end is 22 m2. If the mean sectional area method is expressly specified, what volume does that method estimate?

A 146.67 m3. B 440 m3. C 110 m3. D 220 m3.

Question 17 ప్రశ్న 17

A 50 m earthwork interval begins with a cutting area of 12 m2 and ends with a filling area of 18 m2. Assume the SIGNED sectional area varies linearly from +12 m2 for cutting to -18 m2 for filling. Using the mean sectional area method separately on either side of the zero-area transition, what are the respective cutting and filling volumes?

A 150 m3 cutting and 450 m3 filling. B 300 m3 cutting and 450 m3 filling. C 120 m3 cutting and 270 m3 filling. D 120 m3 cutting and 450 m3 filling.

Question 18 ప్రశ్న 18

Two cross sections, 30 m apart, each contain BOTH cutting and filling areas. At the first section, cutting area is 8 m2 and filling area is 3 m2. At the second section, cutting area is 12 m2 and filling area is 5 m2. Assuming the areas of each type vary linearly between sections, what are the respective volumes by the mean sectional area method?

A 180 m3 cutting and zero filling. B 300 m3 cutting and 60 m3 filling. C 240 m3 cutting and 120 m3 filling. D 300 m3 cutting and 120 m3 filling.

Question 19 ప్రశ్న 19

At the ends of a 25 m excavation interval, the measured soil-cutting areas are 12 m2 and 20 m2, while rock-cutting areas are 4 m2 and 6 m2 respectively. Using the mean sectional area method separately for each excavation class, what are the SOIL and ROCK quantities?

A 400 m3 soil and 125 m3 rock. B 525 m3 soil and zero rock. C 450 m3 soil and 75 m3 rock. D 350 m3 soil and 175 m3 rock.

Question 20 ప్రశ్న 20

Three successive sections at chainages 0+000, 0+020 and 0+050 have areas of 10 m2, A m2 and 18 m2 respectively. The total volume calculated by the mean sectional area method is 770 m3. What is the UNKNOWN intermediate sectional area A?

A 16 m2. B 14 m2. C 18 m2. D 20 m2.

Question 21 ప్రశ్న 21

Four consecutive earthwork cross sections have areas of 10 m2, 14 m2, 18 m2 and 30 m2, with a uniform spacing of 20 m between successive sections. Which total volume is correct under the mean sectional area method?

A 960 m3. B 1,080 m3. C 1,040 m3. D 1,160 m3.

Question 22 ప్రశ్న 22

For a 30 m earthwork interval, the end-sectional areas are 9 m2 and 25 m2, while the measured midpoint sectional area is 15 m2. By how much does the mean sectional area method result EXCEED the volume obtained using the prismoidal formula?

A 20 m3. B 40 m3. C 30 m3. D 60 m3.

Question 23 ప్రశ్న 23

An earthwork interval is 40 m long and has end-sectional areas of 10 m2 and 30 m2. A new cross section measured at its midpoint has an area of 12 m2. What is the REVISED total volume if the mean sectional area method is applied separately to the two 20 m subintervals?

A 800 m3. B 720 m3. C 680 m3. D 640 m3.

Question 24 ప్రశ్న 24

Consider the following statements about the mean sectional area method: Statement I: If cross-sectional area varies linearly with longitudinal distance, the method gives the exact geometric volume for that interval. Statement II: For symmetrical trapezoidal earthwork sections with fixed formation width and side slopes, averaging the end depths before calculating one sectional area always gives the same volume as averaging the two complete end-sectional areas. Which option is correct?

A Statement I is correct, but Statement II is incorrect. B Both statements are correct. C Statement I is incorrect, but Statement II is correct. D Both statements are incorrect.

Question 25 ప్రశ్న 25

Five consecutive earthwork cross sections at chainages 0+000, 0+020, 0+050, 0+070 and 0+100 have areas of 6 m2, 14 m2, 10 m2, 18 m2 and 22 m2 respectively. Using the mean sectional area method with the ACTUAL interval lengths, what is the TOTAL earthwork volume?

A 1,360 m3. B 1,440 m3. C 1,500 m3. D 1,560 m3.

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