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
Answer: Option C
Solution(By Examveda Team)
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 :
$$\eqalign{ & = \frac{{1000}}{{421.875}} \cr & = \frac{{1000000}}{{421875}} \cr & = \frac{{64}}{{27}}\,Or\,64:27 \cr} $$
Related Questions on Volume and Surface Area
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B. 15$$\pi$$ cm3
C. 16$$\pi$$ cm3
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In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m
A. 84 meters
B. 90 meters
C. 168 meters
D. 336 meters
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