Question

If the volumes of two similar figures are 27 mm^3 and 1331 mm^3. If the surface area of the smaller figure is 18mm^2, what is the surface area of the larger figure

Answer 1

any ideas?

Answer 2

what do you think is the scale factor or ratio for the volumes?

Answer 3

notice that \(\bf 27 = 3^3\\
1331 = 11^3\)

Answer 4

makes sense

Answer 5

thus we can say that, the ratio or scale factor for the volumes, corresponds to the ratio of the surface areas
thus we can say that \(\bf \cfrac{27}{1331} \implies \cfrac{3^3}{11^3} \implies \textit{ ratio will be } \cfrac{3}{11}\\
\textit{thus we could say that }\\
\cfrac{3^2}{11^2}=\cfrac{18}{x}\)

Answer 6

so now we have to find what x is?

Answer 7

yes, "x" is the surface area of the bigger similar figure, which corresponds to 18 on the smaller figure

Answer 8

what is the next step

Answer 9

the next step is be happy, buy cheetos and enjoy :)

Answer 10

there's no next step, "x" is what you're required to find, the area of the bigger similar figure

Answer 11

?