christina has two similar cubical planters, cube a and cube b. the side of cube a is 1 ft and the side of cube b is 3 ft. what is the ratio of the volume of cube a to the volume of cube b?

Respuesta :

Cube a to cube b is 1:3.  This is a one-to-one measure.  If we want volume ratios, we have to take the one-to-one ratios and cube them.  Like this: [tex] \frac{1}{3} =( \frac{1}{3} ) ^{3} [/tex] which simplifies to [tex] \frac{1}{27} [/tex].  This means that the volume of the smaller object is 27 times smaller than the volume of the larger.