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

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 dimensions of these cubes. A cube is selected at random.
If `P_3` is the probability that the cube selected has none of its sides painted, then the value of `27P_3` is:

A

1

B

8

C

12

D

17

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

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 total number of cubes having at least one of its sides painted is

The ratio of sides of two cubes is 2:3. then the ratio of their volumes is

Two cubes have their volume in the ratio 1:27. what is the ratio of their surface areas ?

Given below are two pairs of statements. Combine these two statements using ''if and only if ''. (i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square. (ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corners of the cube of and two atoms (Y) are at each body diagonal of the cube. a. Calculate: (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound. b. If all atoms form one body diagonal of the cube except corners are removed, calculate: (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound.

A domain in ferromagnetic iron in the form of a cube of side length 1mum . Estimate the number of iron atoms in the domain and the maximum possible dipole moment and magnetisation of the domain. The atomic mass of iron 55g/mole and its density is 7.9 g/cm^(3) . Assume that each iron has a dipole moment of 9.27 xx 10^(-24) A m^(2) .

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant. P(X=x)={{:(0.1, "if "x =0),(kx, "if "x = 1 or 2 ),(k(5-x), "if " x=3 or 4),(0,"otherwise"):} (a) Find the value of k. (b) What is the probability that you study at least two hours ? Exactly two hours? At most two hours?