Find the value of the expression: [(0.12 x 0.12 x 0.12) + (0.012 x 0.012 x 0.012)] / [(0.48 x 0.48 x 0.48) + (0.048 x 0.048 x 0.048)]

A1/16

B1/4

D1/64 ✓ Correct

Correct answer: (D) 1/64

Explanation

The value of the expression is 1/64.

Let a = 0.12 and b = 0.012 in the numerator a^3 + b^3.

The denominator uses 0.48 = 4a and 0.048 = 4b.

So denominator = (4a)^3 + (4b)^3 = 64(a^3 + b^3).

The ratio = (a^3 + b^3) / 64(a^3 + b^3) = 1/64.

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