Answer:
432 in^3
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of the areas, so is ...
scale factor = √(36/25) = 6/5
The ratio of volumes is the cube of the ratio of linear dimensions, so is ...
volume ratio = (scale factor)^3 = (6/5)^3 = 216/125
Then the volume of the larger figure is ...
larger volume = (250 in^3)·(216/125) = 432 in^3
