71. The correct prismoidal formula for volume is

A. D [first area + last area + Even area + 2 odd areas]

B. ?3 [first area + last area + 4 ? Even area +2 odd areas]

C. ?3 [first area + last area +2 Even area +4 odd areas]

D. ?D [first area + last area + 2 Even area +4 odd areas]. 6

72. The area of a sloping surface of a protective embankment of mean height d, side slopes S : 1 and len h L is

A.dxdxs

B. d2 x (ds)2

C. L.D '11 + s2

D. 2 Ld

73. The reduced levels of points, 30 metres apart along the longitudinal section of a road portion between chainages 5 and 9 are shown in Fig. 23.4. If there is a uniform up-gradient of the road 120 in 1, the chainage of the point with no filling or cutting is

A. (6 + 15) chains

B. (6 + 12) chains

C. (6 + 18) chains

D. None of these.

74. The ground surface slopes 1 in 50 along a proposed railway embankment 150 m in length. The height of the embankment at zero chainage is 0.5 m, the width is 11 m and side slopes 2: 1. If the falling gradient of the embankment is 1 in 150, the quantity of the earthwork calculated by prismoidal formula, is

A. 3250 m3

B. 3225 m3

C. 3275 m3

D. 3300 m3.

75. Pick up the correct statement from the following :

A. If the bed level is above N.S.L. the canal is called fully in baking and the berms are designed as 3 d where d is full supply depth of water (F.S.D.)

B. Area of canal in cutting = BD + Sd2 where B = bed width, d = depth of cutting and S is the side slope

C. Area of the bank of canal =Bid]. + Sd1.2 where Bi, di and S are the width of bank, height of the bank above N.S.L. and side slope respectively

D. All the above.

76. A portion of an embankment having a uniform up-gradient 1 in 500 is circular with radius 1000 m of the centre line. It subtends 180? at the centre. If the height of the bank is 1 m at the lower end, and side slopes 2: 1, the earth work involved.

A. 26,000 M3

B. 26,500 m3

C. 27,900 m3

D. 27,500 m3.

77. A cement concrete road is 1000 m long, 8 m wide and 15 cm thick over the sub-base of 10 cm thick gravel. The box cutting in road crust is

A. 500 m3

B. 1000 m3

C. 1500 m3

D. 2000 m3.

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