Problem

Each side length of Cube $A$ is $4 \mathrm{~cm}$ long.
Each side length of $C u b e B$ is triple the side length of $C u b e A$.
How many times greater is the volume of Cube $B$ than that of Cube $A$ ?
1664 times 192 times

Answer

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Answer

Find the ratio of the volumes: \( \frac{volume_B}{volume_A} = \frac{(12^3)}{(4^3)} = \frac{1728}{64} = \boxed{27} \)

Steps

Step 1 :Find the side length of Cube B: side_length_B = 3 * side_length_A = 3 * 4 = 12

Step 2 :Find the ratio of the volumes: \( \frac{volume_B}{volume_A} = \frac{(12^3)}{(4^3)} = \frac{1728}{64} = \boxed{27} \)

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