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27 October, 22:12

The sum of the factors of what perfect cube is 400?

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Answers (2)
  1. 27 October, 22:13
    0
    343

    Step-by-step explanation:

    Let the perfect cube be x³.

    The factors of this cube is 1, x, x², x³

    According to question,

    The sum of the factors should be equal to 400.

    So,

    1 + x + x² + x³ = 400

    By using hit and trial method,

    The value of x comes out be 7

    So, the perfect cube whose factors have a sum of 400 is the cube of the number, 7 = 7³ = 343
  2. 27 October, 22:38
    0
    Cube root of 400 can be represented as 3√400. The value of cube root of one is 400. The nearest previous perfect cube is 343 and the nearest next perfect cube is 512.
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