What is the value of 8.73 × 8.73 × 8.73 + 4.27 × 4.27 × 4.27?
- 827.5
- 832.0
- 742.57
- None of these
Explanation
a³ + b³ = (a + b)³ – 3ab(a + b)
= 13³ – 3 × 37.2671 × 13
= 2197 – (3 × 37.2671 × 13)
= 2197 – 1454.4265 ≈ 742.57
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