Question

A cube has edges that are 6 centimeters long. How many times greater is the volume of a cube with 9 centimeter sides?

Answer 1

scale factor of 3/2

Answer 2

actually 1.5 to the 3rd power
therefore 3.375 times

Answer 3

lets say cube 1 is with each side of c
and cube cube 2 with each side (c × v)

Area of Cube 1: \(\LARGE\color{blue}{ \bf c^{3} }\)
Area of Cube 2: \(\LARGE\color{blue}{ \bf (cv)^{3}=c^{3} \times v^{3} }\)
So the volume of the second cube is v^3 times greater.

Answer 4

in your case the "c" is 6 and v is 3/2

Answer 5

yes, that is correct. Question is how many times greater is the volume so that would be 3.375 times greater

Answer 6

yes, you are correct.

Answer 7

Thanks

Answer 8

Anytime !