The world's largest cube puzzle is in Knoxville, Tennessee. It measures 6 feet on each side. The scale factor between a standard cube puzzle and the largest puzzle is \(\cfrac{1}{24}\). Find the surface area and volume of the standard cube puzzle.
Persevere with Problems Two spheres are similar in shape. The scale factor between the smaller sphere and the larger sphere is \(\cfrac{3}{4}\). If the volume of the smaller sphere is 126.9 cubic meters, what is the volume of the larger sphere?
Justify Conclusions A cone has a volume of x cubic inches. If the dimensions of a second cone are one-sixth the original cone, what is the volume of the second cone? Explain your reasoning.