Question : What is the value of 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465?
Option 1: 8
Option 2: 7.5
Option 3: 4
Option 4: 5.5
Answer (1)
22nd Jan, 2024
Correct Answer: 8
Solution :
1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465
= (1.65)
3
+ (0.35)
3
+ 3 × 1.65 × 0.35 × (1.65 + 0.35)
Using $(a + b)^3 = a^3+b^3 + 3ab (a+b)$
= (1.65 + 0.35)
3
= 2
3
= 8
Hence, the correct answer is 8.
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