If all sides of a cube are multiplied by 6, by what factor does the volume increase?

\large V=a^3 \\ \\V_{1}=(6a)^3 =6^3*a^3=256a^3\\ \\\frac{V_{1}}{V}=\frac{256 \not a^3^1}{\not a^3^1}= 256\\ \\Answer : \ increase \ the \ volume \ of \ a \ cube \ 256 \ times

Answered by Lilith | 2024-06-10

When all sides of a cube are multiplied by 6, the volume increases by a factor of 216. This is because volume scales by the cube of the change in side length. Thus, the new volume is 216 times the original volume.
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Answered by Lilith | 2024-12-23