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If the cube of a number is 27, what is the positive number?

Answer and explanation

Correct answer: Three

The governing concept is the inverse relationship between cubing and taking a cube root. Let the positive number be x. Then x³ = 27. Since 27 = 3 × 3 × 3 = 3³, taking the positive cube root gives x = 3. The distractors do not work: 9³ = 729, while 27³ and 81³ are much larger than 27. Therefore, option A is correct.

Related tags

Cube-RootsPerfect-CubesExponentsNumber-SystemsNumber SystemsMathematicsClass 9 Mcq

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