Question

If the volumes oftwo cubes are in the ratio 8:1,the ratio of their edges,is

Answer 1

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let a1 , a2 are the edges of two cubes :
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let volume of first cube = a1^3



and volume of second cube = a2^3




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ratio of the volumes of two cubes = 8 : 1
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a1^3 : a^2^3 = 8 : 1





a1^3 / a2^3 = 8 / 1






(a1 / a2 )^3 = 8 / 1








a1 / a2 = cube √( 8 /1 )








a1 / a2 = 2 / 1










a1 : a2 = 2 : 1







therefore







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ratio of the edges of two cubes = 2 : 1
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Your Answer : ratio = 2 : 1
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