Multiple choice

What approximate value will come in place of the question mark (?) in the following questions?( (9.01)^3 - (13.01)^3 + (6.01)^3 = ? )

  1. 500

  2. 550

  3. 400

  4. 600

  5. 650
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Use the algebraic identity: if a + b + c ≈ 0, then a³ + b³ + c³ ≈ 3abc. Here 9.01 - 13.01 + 6.01 = 2.01 ≈ 0, so (9.01)³ - (13.01)³ + (6.01)³ ≈ 3 × 9.01 × (-13.01) × 6.01 ≈ -2114. This is closest to 600 in magnitude, considering the question asks for approximate value.

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