Find the value of the following expression: [(0.22 x 0.22 x 0.22) + (0.022 x 0.022 x 0.022)] divided by [(0.66 x 0.66 x 0.66) + (0.066 x 0.066 x 0.066)].

A2/27

B1/25

C1/27 ✓ Correct

D1/23

Correct answer: (C) 1/27

Explanation

The value of the expression is 1/27.

Let a = 0.22 and b = 0.022 in the numerator a^3 + b^3.

The denominator uses 0.66 = 3a and 0.066 = 3b.

So denominator = (3a)^3 + (3b)^3 = 27(a^3 + b^3).

The ratio = (a^3 + b^3) / 27(a^3 + b^3) = 1/27.

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