Mathematics
Grade-8
Easy

Question

Which of the following is equal to its own cube?

  1. - 1
  2. - 2
  3. - 3
  4. - 9

hintHint:

1. We know that 1 is the only number that gives the answer as 1 when multiplied by itself.
2. x3 = x * x * x

The correct answer is: - 1


    TO FIND-
    Number from the given options for which its cube = the same number
    i.e. x3 = x
    SOLUTION-
    We will substitute all the numbers in the given options and check for the given condition.
    a. -3
    (-3)3 = (-3) * (-3) * (-3) = -27
    b. -9
    (-9)3 = (-9) * (-9) * (-9) = -729
    c. -1
    (-1)3 = (-1) * (-1) * (-1) = -1
    Hence, for the number -1, its cube = the number itself.
    d. -2
    (-2)3 = (-2) * (-2) * (-2) = -8
    FINAL ANSWER-
    Option 'c' i.e. '-1' is the correct answer to the given question.

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