Each side length of Cube A is $4 cm$ long.
Each side length of Cube $B$ is triple the side length of Cube $A$ .
How many times greater is the volume of Cube $B$ than that of Cube A?

Answer

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Answer

$27$ : The volume of Cube B is 27 times greater than that of Cube A.

Steps

Step 1 ：Let the side length of Cube A be $a$ and the side length of Cube B be $b$ . Given that $a = 4$ cm and $b = 3 a = 12$ cm.

Step 2 ：Find the volume of Cube A: $V_{A} = a^{3} = 4^{3} = 64$ cubic cm.

Step 3 ：Find the volume of Cube B: $V_{B} = b^{3} = 12^{3} = 1728$ cubic cm.

Step 4 ：Find the ratio of the volumes: $\frac{V_{B}}{V_{A}} = \frac{1728}{64} = 27$ .

Step 5 ： $27$ : The volume of Cube B is 27 times greater than that of Cube A.