MathematicsA pit 5 m long and 3.5 m wide is dug up to a certain depth. If the volume of earth taken out of it is 14 m³, then the depth of the pit is ____.

A pit 5 m long and 3.5 m wide is dug up to a certain depth. If the volume of earth taken out of it is 14 m³, then the depth of the pit is ____.


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    Solution:

    A pit 5 m long and 3.5 m wide is dug up to a certain depth. If the volume of earth taken out of it is 14 m³, then the depth of the pit is 0.8 m.
    Given,
    Length of the pit = 5 m
    The breadth of the pit = 3.5 m
    The volume of earth dug out = 14 m³
    Let the depth of the pit be ‘h’ m.
    The volume of the cuboidal cavity will be the same as the volume of the earth dug out.
    V=lbh  
    Putting the values in the above formula,
    ⇒14=5×3.5×h ⇒h= 14 5×3.5 ⇒h=0.8  
    Therefore, the depth of the pit is 0.8 m.
     
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