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

Question

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

Team Careers360 · Accepted Answer

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
= 2³
= 8
Hence, the correct answer is 8.

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Question : What is the value of 1.65 × 1.65 × 1.65 + 0.35 × 0.35 × 0.35 + 3.465?Option 1: 8Option 2: 7.5Option 3: 4Option 4: 5.5

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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