# Perfect cubes

Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202).
What is the probability that the number is a perfect cube?

Result

p =  2.475 %

#### Solution:

$c_{ 1 } = 1^3 \ \\ c_{ 2 } = 2^3 = 8 \ \\ c_{ 3 } = 3^3 = 27 \ \\ c_{ 4 } = 4^3 = 64 \ \\ c_{ 5 } = 5^3 = 125 \ \\ c_{ 6 } = 6^3 = 216 \ \\ \ \\ 0

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

1. Cube 9
What was the original edge length of the cube if after cutting 39 small cubes with an edge length 2 dm left 200 dm3?
2. Theatro
Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?
3. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
4. Cube root
Find cube root of 18
5. First man
What is the likelihood of a random event where are five men and seven women first will leave the man?
6. In the orchard
In the orchard, they planted 25 apple trees, 20 pears, 15 plums and 40 marbles. A strong late frost, however, destroyed a fifth of all new trees. Unfortunately, it was all the trees of one kind of fruit. What is the probability that the plums have died ou
7. Percentages
52 is what percent of 93?
8. Today in school
There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?
9. The ball
The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
10. Art school
Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
11. Persons
Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
12. Liters od milk
The cylinder-shaped container contains 80 liters of milk. Milk level is 45 cm. How much milk will in the container, if level raise to height 72 cm?
13. Trees
Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
14. The dormitory
The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.