Answer: The ratio of the side lengths of two similar figures is 2:5.
Let's assume that the dimensions of the smaller figure are 2x, 2y, and 2z, where x, y, and z are some constants. Then, the dimensions of the larger figure will be 5x, 5y, and 5z.
The ratio of the volumes of two similar figures is the cube of the ratio of their corresponding side lengths.
So, the ratio of the volumes of the smaller and larger figures will be:
(2x)^3 : (5x)^3
8x^3 : 125x^3
We can simplify this ratio by dividing both sides by the common factor of x^3:
8 : 125
Therefore, the ratio of the volumes of the smaller and larger figures is 8:125.
Explanation: