Two cubes have surface areas of 72 square feet and 98 square feet. What is the scale factor of the small cube to the large cube?

What is the ratio of the volume of the small cube to the volume of the large cube?

Scale factor for areas = √[72/98] = √72 / √98 = √[36 * 2 ] / √[ 49 * 2 ] = [6√2] /[7√2] = 6 /7

Ratio of volumes = (scale factor)^3 = (6/7)^3 = 216 / 343 = 216 : 343