Scale is a one-to-one measure, which can be used as a perimeter measure if needed. Area, then, takes this one-to-one and squares it, because area is a squared measure (whereas perimeter is a single unit measure). Volume is a cubed measure. To find the ratio of the areas, we will take the one-to-one ratio and square it: [tex]( \frac{6}{13} ) ^{2} = \frac{36}{169} [/tex]. To find the volume ratio, take the same one-to-one and cube it: [tex]( \frac{6}{13}) ^{3} = \frac{216}{2197} [/tex]. Now we can set up a proportion using the smaller volume. The smaller of the values for the volume is on top and the larger is on bottom: [tex] \frac{216}{2197}= \frac{432}{x} [/tex]. Cross-multiply to get 216x=949104. Solving for x will give us the larger volume: x = 4394
