Question

If the volumes of two cubes are in the ratio 8 : 1, then the ratio of their edges is
A. 8 : 1
B. 2√2 : 1
C. 2 : 1
D. none of these

Answer 1

Answer is option c 2 : 1

let the edges be a

vol of cube = a^3

therefore,

vol of cube1 / vol of cube 2=

a1^3/ a2^3

8/1=a1^3/a2^3

a1/a2 = 2/1

Answer 2

Answer:

Let,

V

1

−

V

2

V1-V2→ Volumes of the two cubes

a

1

,

a

2

→

a1,a2→ Edges of the two cubes

We know that,

V = a3

So,

V

1

V

2

=

a

3

1

a

3

2

V1V2=a13a23

8

1

=

(

a

1

a

2

)

3

81=(a1a2)3

a

1

a

2

=

2

:

1

a1a2=2:1

Ratio of their edges is 2:1 .

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