Question

Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.

Answer 1

we have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
 the volume increases  by a factor of 27