Home
Class 12
MATHS
A cube having all of its sides painted i...

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random.
The total number of cubes having at least one of its sides painted is

A

14

B

18

C

22

D

26

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random. The probability that the cube selected has none of its sides painted is

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random. The probability that the cube selected has two sides painted is

A cube having all of its sides painted is cut to be two horizontal , two vertical and other two planes, so as to form 27 cubes all having the same dimesions of these cubes, a cube is selected at random. If P_3 be the probability that the cube selected has none of its sides painted, then the value of 27P_3 , is

The side of a cube having volume 27 cm^(3) is

A cube having each side of unit length is cut into two parts by plane through two diagonals of two opposite faces. What is the total surface area of each of these parts ?

A cube of edge 6 cm is painted on all sides and then cut into units cubes. The number of unit cubes with no sides painted is

A cube of side 6 cm is cut into a number of cubes each of sides 2 cm . The number of cubes ,formed is

A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is __________.

ARIHANT MATHS-PROBABILITY-Exercise (Passage Based Questions)
  1. There are n students in a class. Ler P(Elambda) be the probability tha...

    Text Solution

    |

  2. There are n students in a class. Ler P(Elambda) be the probability tha...

    Text Solution

    |

  3. A cube having all of its sides painted is cut by two horizontal, two v...

    Text Solution

    |

  4. A cube having all of its sides painted is cut to be two horizontal , t...

    Text Solution

    |

  5. A cube having all of its sides painted is cut to be two horizontal , t...

    Text Solution

    |

  6. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  7. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  8. A JEE aspirant estimates that she will be successful with an 80 percen...

    Text Solution

    |

  9. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  10. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  11. Suppose E1, E2 and E3 be three mutually exclusive events such that P(E...

    Text Solution

    |

  12. Let A={1, 2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of increas...

    Text Solution

    |

  13. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of non d...

    Text Solution

    |

  14. Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3}. The probability of incre...

    Text Solution

    |

  15. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

    Text Solution

    |

  16. A random variable X takes values 0, 1, 2, 3,… with probability proport...

    Text Solution

    |

  17. A random variable X takes values 0, 1, 2,...... with probability propo...

    Text Solution

    |

  18. Let n=10lambda+r", where " lambda,rinN, 0lerle9. A number a is chosen...

    Text Solution

    |

  19. Let n=10lambda+r, where lambda,rinN, 0lerle9. A number a is chosen at...

    Text Solution

    |

  20. Let n=10lambda+r, where lambda,rinN, 0lerle9. A number a is chosen at...

    Text Solution

    |