If the volumes of two cubes are in ratio 64:1 the ratio in their edges is:

Siddartha Mulumudi   8 years AGO

Volumes of cubes ratio is 64:1

So let 64a and 1a be the volumes of the cubes.

Then length of the edges will be the cube roots of the volume.
So the edges will be 4*(cuberoot a) and 1*(cuberoot a).

So ratio of edges is 4:1

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Jayendra   8 years AGO

volume of cube =(length)^3
so ratio in their edges is 4:1

Like? Yes (1) | No   

JITENDRA KUMAR   8 years AGO

As the volume of cube=l*b*h=4*4*4=64
and
for second volume=l*b*h=1*1*1=1
so, ratio of their edges is 4:1

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gubba ranjith kumar   8 years AGO

Edge=s
Volume =s^3
Volumes ratio=64:1
=>edges ratio=(64)^(1/3):(1)^(1/3)=4:1

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Aayush Goyal   8 years AGO

volume of cube is a^3
where a is the length of edge
in this case, volume is given in the ratio. so. the edges in the ratio 4:1

Like? Yes (1) | No (1)  

Mukund Manohar   8 years AGO

Ratio of volumes of two cubes = 64:1 = 4³:1³
So,ratio of their edges = 4:1

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Mathi Vanan P   8 years AGO

to find edge ratio
(a/b)^3=(64/1)^3
therefore,
(a/b)=(4/1)

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sanjeet kumar   8 years AGO

Let the volumes be 64x and x.
Then their edges be in the ratio 4:1.

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suma priya   8 years AGO

ratio of volume of cubes: 64:1= (4)^3/(1)^3
then ratio of edges= 4:1

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Parikshit Sen   8 years AGO

Volume is directly proportional to edge cube. Therefore ratio of edges is equal to cube root of the ratio of volumes.

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P.V.Vishnu Prasanth   8 years AGO

Let, the edge of cubes a,b
volume of cubes a^3,b^3
a=3√64,b=3√1
a:b=4:1

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Nandini JB   8 years AGO

volume1:volume2 => (edge1)^3:(edge2)^3
64:1 => 3^3:1^3
edge1:edge2 = 3:1

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Dinesh kumar sah   8 years AGO

Simply,let the volume of cubes are v1 and v2 and corresponding edges are a1 and a2.
then v1/v2=a1^3/a2^3
or,64/1=a1^3/a2^3=4^3/1^3
so a1/a2=4/1=4:1 Ans
Hence option(4) is the right answer.

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Aishwarya Kogekar   8 years AGO

the vol of cube is a^3 then the one side of smaller cube is 1 .
therefore other side is 4 . hence the ratio of side is 4:1

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Mukesh Kumar   8 years AGO

volume of cube of having edge a is a*a*a

a^3/b^3=64/1
a:b= 4:1

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Jaydev Dinda   8 years AGO

Volume of cube is = a^3. a=edge.
Volume of two cubes are in ratio =64:1,
hence,Ratio of edges is 4:1.

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Surabhi   8 years AGO

because volume of cube is in the 64:1 and volume of a cube is a^3

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abhishek   8 years AGO

the required ratio will be cube root of the given ratio.as edge can be given as cube root of volume.

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Nitish kesarwani   8 years AGO

vol 0f cube=a^3
so= 64/1= 4^3/1^1=
now edges =4/1
option 4

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Pragati Rode   8 years AGO

Let the edges be a and b of two cubes, then

a^3/b^3=64/1
(a/b)^3=(4/1)^3
a/b=4/1
a:b=4:1

so option is 4

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Rajesh Durisala   8 years AGO

Volume of Cube V = (side)^3
since the volume is in 64:1
Edges will be in 4:1

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Shavy khanna   8 years AGO

Volume=a^3
So 4^3=64
Ratio is 64:1--:4:1
Option 4

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JENSI KARUNYA.S   8 years AGO

volume of the cube=edge^3
the ratio of the two cubes=64:1
so, the ratio of edges of the two cubes=4:1
option 4) 4:1 is the correct answer.

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Shweta   8 years AGO

volume of cubes=64:1
edge = length = breadth = height
volume = L*B*H=(4*4*4):(1*1*1)
edge=4:1

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abhishek   8 years AGO

V=a^3. therefore 64=(2^6)^(1/3) which is 2*2=4 and 1 remains 1.So, Answer become 4:1.

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Samjukta Das   8 years AGO

Volume of cube= take the side and cube it .
Cube root of 64= 4
So the ratio is 4:1

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SARATCHANDRAN   8 years AGO

volume of a cube of edge 'a' is a*a*a;
therefore edges in ratio 4:1 because it will be the cube root

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santosh prasad   8 years AGO

because volume is cube of edge..hence edge is cube root of volume implies cubroot of 64 =4

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Damini singhal   8 years AGO

Volume of cube= (edge)^3
edge1/edge2=cuberoot(64/1)
Therefore, edge1:edge2=4:1

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anubhav verma   8 years AGO

volume of cube = side ^3

hence side of cube1 = cube root of 64 = 4
side of cube 2 = cube root of 1 = 1
hence ratio of edges is 4:1

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