Question
Each side of a cube is decreased by 25%. Find the ratio of the volume of the original cube and the resulting cube = ?
Answer: Option C
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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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 :
$$\eqalign{
& = \frac{{1000}}{{421.875}} \cr
& = \frac{{1000000}}{{421875}} \cr
& = \frac{{64}}{{27}}\,Or\,64:27 \cr} $$
Was this answer helpful ?
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