two similar figures have volume is 27 in.³ 125 in.³ surface area of the smaller figure is 63 in.² find the surface area of the larger figure

Respuesta :

When we get the ratio of the volumes of the smaller figure to that of the bigger figure, we get an answer of,
                                          27:125
Then, we get the square root, 3:5. If we square both sides, we get the ratio of the areas. 
                                           9:25
With the given, the surface area of the bigger figure is 
                               63 / 9  = X/25
The value of x 175. 

Answer:

175 in²

I took the practice and got it right