Answer:
256 in^3
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of areas, so the smaller figure has linear dimensions that are ...
√((16 in^2)/(25 in^2)) = 4/5
those of the larger figure.
The ratio of volumes is the cube of the ratio of linear dimensions, so the smaller figure will be (4/5)^3 times the volume of the larger figure.
smaller figure volume = (4/5)^3·(500 in^3) = (64/125)·500 in^3 = 256 in^3
