Mathematics
Grade-8
Easy
Question
Which of the following is equal to its own cube?
- - 1
- - 2
- - 3
- - 9
Hint:
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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