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1. Each side of a cube is decreased by 25%. Find the ratio of the volume of the original cube and the resulting cube = ?

A. 64 : 1

B. 27 : 64

C. 64 : 27

D. 8 : 1

Solution:

Let the side of cube = 10 cm
∴ Original volume = 10 × 10 × 10 = 1000 cm³
Now, side of new cube := 10 - 25% of 10 = 7.5
∴ New volume = 7.5 × 7.5 × 7.5 = 421.875 cm³
∴ Required ratio :

\begin{aligned} = \frac{1000}{421.875} \\ = \frac{1000000}{421875} \\ = \frac{64}{27} O r 64 : 27 \end{aligned}

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