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The number of cubic meters of the fill that can be constructed at a void ratio of 0.5 from 1000 m3 of borrow pit of soil that has a void ratio of 0.80 will be
- A500 m3
- B750 m3
- C833 m3
- D1000 m3
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CCommunity
Volume of solids remain same, $({V_s} = \frac{V}{{1 + e}})$
$({V_s} = \frac{{{V_f}}}{{1 + {e_f}}} = \frac{{{V_b}}}{{1 + {e_b}}})$
$({V_s} = \frac{{{V_f}}}{{1 + 0.5}} = \frac{{1000}}{{1 + 0.8}})$
$({V_f} = \frac{{1000}}{{1 + 0.8}} \times \left( {1 + 0.5} \right) = 833\;{m^3})$
$({V_s} = \frac{{{V_f}}}{{1 + {e_f}}} = \frac{{{V_b}}}{{1 + {e_b}}})$
$({V_s} = \frac{{{V_f}}}{{1 + 0.5}} = \frac{{1000}}{{1 + 0.8}})$
$({V_f} = \frac{{1000}}{{1 + 0.8}} \times \left( {1 + 0.5} \right) = 833\;{m^3})$