MCQOPTIONS
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| 1. |
The expression for the total volume of earthwork for an embankment using Simpson’s one-third rule, if A1, A2, A3, A4 ……. An-1 and An are the areas at n sections at an interval of h, is ________. |
| A. | \(\frac{{\rm{h}}}{3} \times {\rm{\;}}\left[ {\left( {{{\rm{A}}_1} + {{\rm{A}}_{\rm{n}}}} \right) + 4\left( {{{\rm{A}}_2} + {{\rm{A}}_4} + \ldots } \right) + 2\left( {{{\rm{A}}_3} + {{\rm{A}}_5} + \ldots } \right)} \right]\) |
| B. | \(\frac{{\rm{h}}}{3} \times \left[ {\left( {{{\rm{A}}_1} + {{\rm{A}}_{\rm{n}}}) + 2\left( {{{\rm{A}}_2} + {{\rm{A}}_4} + \ldots } \right) + ({{\rm{A}}_3} + {{\rm{A}}_5} + \ldots } \right)} \right]\) |
| C. | \(\frac{{\rm{h}}}{3} \times \left[ {\left( {({{\rm{A}}_1} + {{\rm{A}}_{\rm{n}}} + 4\left( {{{\rm{A}}_2} + {{\rm{A}}_4} + \ldots } \right) + ({{\rm{A}}_3} + {{\rm{A}}_5} + \ldots .} \right)} \right]\) |
| D. | \(\frac{{\rm{h}}}{3} \times \left[ {\frac{{\left( {{{\rm{A}}_1} + {{\rm{A}}_{\rm{n}}}} \right)}}{{4{\rm{\;}}}} + \left( {{{\rm{A}}_2} + {{\rm{A}}_4} + \ldots } \right) + \left( {{{\rm{A}}_3} + {{\rm{A}}_5} + \ldots } \right)} \right]\) |
| Answer» B. \(\frac{{\rm{h}}}{3} \times \left[ {\left( {{{\rm{A}}_1} + {{\rm{A}}_{\rm{n}}}) + 2\left( {{{\rm{A}}_2} + {{\rm{A}}_4} + \ldots } \right) + ({{\rm{A}}_3} + {{\rm{A}}_5} + \ldots } \right)} \right]\) | |