Cubes

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  1. Find the minimum number of cuts required to get 50 pieces.








  1. View Hint View Answer Discuss in Forum

    For minimum number of cuts we will get 50 from 2 x 5 x 5 and cuts is 1 + 4 + 4 = 9

    Correct Option: C

    For minimum number of cuts we will get 50 from 2 x 5 x 5 and cuts is 1 + 4 + 4 = 9

Direction: 216 cubes of similar size are arranged in the form of the bigger cube (6 cubes on each side, i.e.., 6 x 6 x 6) all the exposed surfaces are painted.

  1. How many of the cubes have 0 faces painted?








  1. View Hint View Answer Discuss in Forum

    Since total number of cubes is hence in the formula we will substitute n = 6
    Number of the cubes with 0 faces painted is (6 - 2)3 = 43 = 64

    Correct Option: A

    Since total number of cubes is hence in the formula we will substitute n = 6
    Number of the cubes with 0 faces painted is (6 - 2)3 = 43 = 64

  1. How many of the cubes have 2 most faces painted?








  1. View Hint View Answer Discuss in Forum

    Since total number of cubes is hence in the formula we will substitute n = 6
    Number of the cubes with 2 faces painted is 6(6 - 2)2
    = 6 x 16 = 96

    Correct Option: C

    Since total number of cubes is hence in the formula we will substitute n = 6
    Number of the cubes with 2 faces painted is 6(6 - 2)2
    = 6 x 16 = 96

  1. How many of the cubes have at most faces painted?








  1. View Hint View Answer Discuss in Forum

    Since total number of cubes is hence in the formula we will substitute n = 6
    At most 2 faces painted means number of cubes with 0 face painted + number of cubes with 1 face painted + number of cubes
    with 2 face painted = 64 + 48 + 96 = 208

    Correct Option: A

    Since total number of cubes is hence in the formula we will substitute n = 6
    At most 2 faces painted means number of cubes with 0 face painted + number of cubes with 1 face painted + number of cubes with 2 face painted = 64 + 48 + 96 = 208

  1. How many of the cubes have at least 2 faces painted?








  1. View Hint View Answer Discuss in Forum

    Since total number of cubes is hence in the formula we will substitute n = 6
    At least 2 faces painted means number of cubes with 2 face painted + number of cubes with 3 face painted = 96 + 8 = 104.

    Correct Option: B

    Since total number of cubes is hence in the formula we will substitute n = 6
    At least 2 faces painted means number of cubes with 2 face painted + number of cubes with 3 face painted = 96 + 8 = 104.