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Question

Determine the approximate proportion of dry cement mortar required for brick work with bricks of nominal size 19 cm × 9 cm × 9 cm, with 18% extra for frog filling and wastage is : (assume 1 m3 of wet mortar = 1.3 m3 of dry mortar):

A.

41%

B.

35.3%

C.

26.7%

D.

32.5%

Answer ( Option B)

35.3%

Solution

Size of brick = 190 x 90 x 90 mm3

Let mortar thickness = 10 mm 

Size of brick with mortar = 0.19 + 0.01 = 0.20 m, 0.09 + 0.01 = 0.1 m, 0.09 + 0.01 = 0.1 m

Volume of brick with mortar = 0.2 x 0.1 x 0.1 = 0.002 m3 

No. of bricks in 1 m3 = 1/0.002 = 500 Nos. 

Volume of 500 bricks without mortar = 500 x 0.19 x 0.09 x 0.09 = 0.7695 m3 

Volume of mortar = 1 – 0.7695 = 0.2305 m

18% extra mortar for frog filling and wastage is considered. 

So volume of mortar = 1.18 x 0.2305 = 0.27199 m

Volume of dry mortar = 1.3 x 0.27199 = 0.353 m3 

Percentage of dry mortar = (0.353/1) x 100 = 35.3%

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