A cube A   has side thrice as long as that of cube B  . What is the ratio of the volume of cube A   to that of cube B  ?

# A cube   has side thrice as long as that of cube  . What is the ratio of the volume of cube   to that of cube  ?

1. A
27:1
2. B
28:1
3. C
25:1
4. D
22:1

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### Solution:

Given : A cube   has a side thrice as long as that of the cube  .
Volume of cube $=\mathit{sid}{e}^{3}$
Let the side of the cube   be  .
As cube,   has side thrice as long as that of the cube  .
This implies the side of the cube   is 3a.
Let the volume of the cube   be  .

Let the volume of the cube   be  .

The ratio of the volume of the cube   to that of the cube  .
The ratio of the volume of the cube   to that of the cube   is 27:1.
Hence, the correct option is 1.

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