Question

The ratio of two cubes is 216 to 27. What is the ratio of their surface areas?

Answer 1

\[216^{2/3}\to 27^{2/3}=4 \to 1\]
The cube root brings the measurement to the linear dimensions, the squaring takes it back up to the area unit.

Answer 2

\[\sqrt[3]{216}=6\]\[6^{2}=36\]\[\sqrt[3]{27}=\]
\[3^{2}=9\]
36:9 is the same as
4:1

Answer 3

Put a 3 after the equal sign after cube root 27.

Answer 4

Thanks!

Answer 5

You are welcome.