10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The corner of a cube has been cut by the plan passing through mid-point of the three edge meeting at that corner. If the edge of the cube is of 2 cm length, then the volume of the pyramid thus cut off is

    A) \[\frac{1}{24}\]\[\text{c}{{\text{m}}^{\text{3}}}\]           

    B)         \[\frac{1}{6}\]\[\text{c}{{\text{m}}^{\text{3}}}\]  

    C)  \[\frac{1}{48}\]\[\text{c}{{\text{m}}^{\text{3}}}\]           

    D)         6 \[\text{c}{{\text{m}}^{\text{3}}}\]

    Correct Answer: B

    Solution :

     The base of the pyramid thus out off will be a right angled triangle whose sides containing the right angle will be each equal to 1 cm. The height of the pyramid will also be equal to 1 cm. Hence the volume will be equal to\[\frac{1}{6}\text{ }c{{m}^{3}}\].


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