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    A survey is to be made with a chain or tape having its true length L and its incorrect length L’. Let the actual volume be V and measured volume be V’
    Question

    A survey is to be made with a chain or tape having its true length L and its incorrect length L’. Let the actual volume be V and measured volume be V’. Then the correction for volume is given by:

    A.

    V=V(LL)2V = V' \left( \frac{L'}{L} \right)^2 \\​​

    B.

    V=V(LL)3V = V' \left( \frac{L}{L'} \right)^3 \\​​

    C.

    V=V(LL)3V = V' \left( \frac{L'}{L} \right)^3 \\​​

    D.

    V=V(LL)4V = V' \left( \frac{L'}{L} \right)^4 \\​​

    Correct option is C

    V=V(LL)3V is the actual or true volumeV’ is the measured or computed volumeL=true lengthL=incorrect lengthV = V' \left( \frac{L'}{L} \right)^3 \\\text{V is the actual or true volume} \\\text{V'} \text{ is the measured or computed volume} \\L = \text{true length} \\L' = \text{incorrect length}​​

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