The sides of two cubes are in the ratio 1:3. What is the ratio of their volumes ?

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Solution

Dear Student,

$S i d e s o f t h e t w o c u b e s a r e i n t h e r a t i o 1 : 3 . l e t t h e s i d e s o f t h e t w o c u b e s b e x a n d 3 x V o l u m e o f a c u b e = {(s i d e)}^{3} V o l u m e s o f t h e s e t w o c u b e s = {(x)}^{3} a n d {(3 x)}^{3} = x^{3} a n d 27 x^{3} R a t i o o f v o l u m e s o f t h e s e c u b e s = \frac{x^{3}}{27 x^{3}} = \frac{1}{27} = 1 : 27$

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