a) 64 : 1
b) 27 : 64
c) 64 : 27
d) 8 : 1
Answer: c
Explanation: 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 :
$$\eqalign{
& = \frac{{1000}}{{421.875}} \cr
& = \frac{{1000000}}{{421875}} \cr
& = \frac{{64}}{{27}}\,Or\,64:27 \cr} $$
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