Two cubes have volume in the ratio 1:27. FInd the ratio of the area of the face of one to that of the other.
NikhitaAVS:
ratio of volumes of cubes = (1)3:(3)3 then their sides ratio=1:3 and ratio of their areas =(1)2:(3)2=1:9 ratio
Answers
Answered by
39
Hey there!!
The formula for the volume of the cube = ( side )³
Let us take the side of the 1st as ' a '
Let us take the side of the 2nd cube as ' b '
Their volumes = a³ and b³
Which means
a³ / b³ = 1 / 27
( a / b )³ = ( 1 / 3 )³
a / b = 1 / 3
Now, the ratio of their sides = 1 :
3
The ratio to their sides =
( a / b )2 = ( 1 / 3 )2
Required answer = 1 / 9
___________________________
The formula for the volume of the cube = ( side )³
Let us take the side of the 1st as ' a '
Let us take the side of the 2nd cube as ' b '
Their volumes = a³ and b³
Which means
a³ / b³ = 1 / 27
( a / b )³ = ( 1 / 3 )³
a / b = 1 / 3
Now, the ratio of their sides = 1 :
3
The ratio to their sides =
( a / b )2 = ( 1 / 3 )2
Required answer = 1 / 9
___________________________
Osm ams dear
^_^
Thanks !
: )
amazing answer chote ^_^
thank uh!
but he has mentioned two cubes
I have given it for two cubes
oh... OK.... sorry
:-)
Answered by
11
let side are x and 27x
side of first = cube root x
second = cube root 27x = 3cube root x
ratio = cube root x /3cube root x
1/3 = 1:3
side of first = cube root x
second = cube root 27x = 3cube root x
ratio = cube root x /3cube root x
1/3 = 1:3
Thanks a lot Nikolatesla@
*2
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