Direction: A semi-circular stonearch of thickness 30 cm is provided over an opening in a brick wall. The wall has length 3.0 m, width 30 cm and height 3.0 m. The opening has span 1.0 m and height 2.0 m.
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The quantity of brickwork in the wall (in cu.m) is
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- 1.369
- 1.445
- 1.629
- 1.798
Correct Option: D
Quantity of Brickwork = (Area of wall × depth of wall) – (Area of opening × depth of opening)cum
= [(3 × 3 × 0.3) – (Volume of rectangular opening + Quantity of stone work from above + Volume of arched opening)
= 2.7 – [(1.5 × 1 × 0.3) + 0.183 + (3.14 × 0.5 × 0.5/2)] cum
= 2.7 – [0.45 + 0.183 + 0.39] cum
= 2.7 – [0.63 + 0.39] cum = 2.7 – 1.02 cum
= 1.68 cum Nearly 1.7 cum